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schrodinger</title> <meta name="description" content="Search results for: schrodinger"> <meta name="keywords" content="schrodinger"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" /> </a> <button class="d-block d-lg-none navbar-toggler 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id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="schrodinger"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 58</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: schrodinger</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">58</span> Approximate Solution to Non-Linear Schrödinger Equation with Harmonic Oscillator by Elzaki Decomposition Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Emad%20K.%20Jaradat">Emad K. Jaradat</a>, <a href="https://publications.waset.org/abstracts/search?q=Ala%E2%80%99a%20Al-Faqih"> Ala’a Al-Faqih</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Nonlinear Schrödinger equations are regularly experienced in numerous parts of science and designing. Varieties of analytical methods have been proposed for solving these equations. In this work, we construct an approximate solution for the nonlinear Schrodinger equations, with harmonic oscillator potential, by Elzaki Decomposition Method (EDM). To illustrate the effects of harmonic oscillator on the behavior wave function, nonlinear Schrodinger equation in one and two dimensions is provided. The results show that, it is more perfectly convenient and easy to apply the EDM in one- and two-dimensional Schrodinger equation. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=non-linear%20Schrodinger%20equation" title="non-linear Schrodinger equation">non-linear Schrodinger equation</a>, <a href="https://publications.waset.org/abstracts/search?q=Elzaki%20decomposition%20method" title=" Elzaki decomposition method"> Elzaki decomposition method</a>, <a href="https://publications.waset.org/abstracts/search?q=harmonic%20oscillator" title=" harmonic oscillator"> harmonic oscillator</a>, <a href="https://publications.waset.org/abstracts/search?q=one%20and%20two-dimensional%20Schrodinger%20equation" title=" one and two-dimensional Schrodinger equation"> one and two-dimensional Schrodinger equation</a> </p> <a href="https://publications.waset.org/abstracts/102537/approximate-solution-to-non-linear-schrodinger-equation-with-harmonic-oscillator-by-elzaki-decomposition-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/102537.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">187</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">57</span> Analytical Solution of Non–Autonomous Discrete Non-Linear Schrodinger Equation With Saturable Non-Linearity</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mishu%20Gupta">Mishu Gupta</a>, <a href="https://publications.waset.org/abstracts/search?q=Rama%20Gupta"> Rama Gupta</a> </p> <p class="card-text"><strong>Abstract:</strong></p> It has been elucidated here that non- autonomous discrete non-linear Schrödinger equation is associated with saturable non-linearity through photo-refractive media. We have investigated the localized solution of non-autonomous saturable discrete non-linear Schrödinger equations. The similarity transformation has been involved in converting non-autonomous saturable discrete non-linear Schrödinger equation to constant-coefficient saturable discrete non-linear Schrödinger equation (SDNLSE), whose exact solution is already known. By back substitution, the solution of the non-autonomous version has been obtained. We have analysed our solution for the hyperbolic and periodic form of gain/loss term, and interesting results have been obtained. The most important characteristic role is that it helps us to analyse the propagation of electromagnetic waves in glass fibres and other optical wave mediums. Also, the usage of SDNLSE has been seen in tight binding for Bose-Einstein condensates in optical mediums. Even the solutions are interrelated, and its properties are prominently used in various physical aspects like optical waveguides, Bose-Einstein (B-E) condensates in optical mediums, Non-linear optics in photonic crystals, and non-linear kerr–type non-linearity effect and photo refracting medium. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=B-E-Bose-Einstein" title="B-E-Bose-Einstein">B-E-Bose-Einstein</a>, <a href="https://publications.waset.org/abstracts/search?q=DNLSE-Discrete%20non%20linear%20schrodinger%20equation" title=" DNLSE-Discrete non linear schrodinger equation"> DNLSE-Discrete non linear schrodinger equation</a>, <a href="https://publications.waset.org/abstracts/search?q=NLSE-non%20linear%20schrodinger%20equation" title=" NLSE-non linear schrodinger equation"> NLSE-non linear schrodinger equation</a>, <a href="https://publications.waset.org/abstracts/search?q=SDNLSE%20-%20saturable%20discrete%20non%20linear%20Schrodinger%20equation" title=" SDNLSE - saturable discrete non linear Schrodinger equation"> SDNLSE - saturable discrete non linear Schrodinger equation</a> </p> <a href="https://publications.waset.org/abstracts/121074/analytical-solution-of-non-autonomous-discrete-non-linear-schrodinger-equation-with-saturable-non-linearity" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/121074.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">155</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">56</span> The Physics of Turbulence Generation in a Fluid: Numerical Investigation Using a 1D Damped-MNLS Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Praveen%20Kumar">Praveen Kumar</a>, <a href="https://publications.waset.org/abstracts/search?q=R.%20Uma"> R. Uma</a>, <a href="https://publications.waset.org/abstracts/search?q=R.%20P.%20Sharma"> R. P. Sharma</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This study investigates the generation of turbulence in a deep-fluid environment using a damped 1D-modified nonlinear Schrödinger equation model. The well-known damped modified nonlinear Schrödinger equation (d-MNLS) is solved using numerical methods. Artificial damping is added to the MNLS equation, and turbulence generation is investigated through a numerical simulation. The numerical simulation employs a finite difference method for temporal evolution and a pseudo-spectral approach to characterize spatial patterns. The results reveal a recurring periodic pattern in both space and time when the nonlinear Schrödinger equation is considered. Additionally, the study shows that the modified nonlinear Schrödinger equation disrupts the localization of structure and the recurrence of the Fermi-Pasta-Ulam (FPU) phenomenon. The energy spectrum exhibits a power-law behavior, closely following Kolmogorov's spectra steeper than k⁻⁵/³ in the inertial sub-range. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=water%20waves" title="water waves">water waves</a>, <a href="https://publications.waset.org/abstracts/search?q=modulation%20instability" title=" modulation instability"> modulation instability</a>, <a href="https://publications.waset.org/abstracts/search?q=hydrodynamics" title=" hydrodynamics"> hydrodynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20Schr%C3%B6dinger%27s%20equation" title=" nonlinear Schrödinger's equation"> nonlinear Schrödinger's equation</a> </p> <a href="https://publications.waset.org/abstracts/179074/the-physics-of-turbulence-generation-in-a-fluid-numerical-investigation-using-a-1d-damped-mnls-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/179074.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">72</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">55</span> On the Grid Technique by Approximating the Derivatives of the Solution of the Dirichlet Problems for (1+1) Dimensional Linear Schrodinger Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Lawrence%20A.%20Farinola">Lawrence A. Farinola</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Four point implicit schemes for the approximation of the first and pure second order derivatives for the solution of the Dirichlet problem for one dimensional Schrodinger equation with respect to the time variable t were constructed. Also, special four-point implicit difference boundary value problems are proposed for the first and pure second derivatives of the solution with respect to the spatial variable x. The Grid method is also applied to the mixed second derivative of the solution of the Linear Schrodinger time-dependent equation. It is assumed that the initial function belongs to the Holder space C⁸⁺ᵃ, 0 < α < 1, the Schrodinger wave function given in the Schrodinger equation is from the Holder space Cₓ,ₜ⁶⁺ᵃ, ³⁺ᵃ/², the boundary functions are from C⁴⁺ᵃ, and between the initial and the boundary functions the conjugation conditions of orders q = 0,1,2,3,4 are satisfied. It is proven that the solution of the proposed difference schemes converges uniformly on the grids of the order O(h²+ k) where h is the step size in x and k is the step size in time. Numerical experiments are illustrated to support the analysis made. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=approximation%20of%20derivatives" title="approximation of derivatives">approximation of derivatives</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20difference%20method" title=" finite difference method"> finite difference method</a>, <a href="https://publications.waset.org/abstracts/search?q=Schr%C3%B6dinger%20equation" title=" Schrödinger equation"> Schrödinger equation</a>, <a href="https://publications.waset.org/abstracts/search?q=uniform%20error" title=" uniform error"> uniform error</a> </p> <a href="https://publications.waset.org/abstracts/99442/on-the-grid-technique-by-approximating-the-derivatives-of-the-solution-of-the-dirichlet-problems-for-11-dimensional-linear-schrodinger-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/99442.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">120</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">54</span> The Soliton Solution of the Quadratic-Cubic Nonlinear Schrodinger Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sarun%20Phibanchon">Sarun Phibanchon</a>, <a href="https://publications.waset.org/abstracts/search?q=Yuttakarn%20Rattanachai"> Yuttakarn Rattanachai</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The quadratic-cubic nonlinear Schrodinger equation can be explained the weakly ion-acoustic waves in magnetized plasma with a slightly non-Maxwellian electron distribution by using the Madelung's fluid picture. However, the soliton solution to the quadratic-cubic nonlinear Schrodinger equation is determined by using the direct integration. By the characteristics of a soliton, the solution can be claimed that it's a soliton by considering its time evolution and their collisions between two solutions. These results are shown by applying the spectral method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=soliton" title="soliton">soliton</a>, <a href="https://publications.waset.org/abstracts/search?q=ion-acoustic%20waves" title=" ion-acoustic waves"> ion-acoustic waves</a>, <a href="https://publications.waset.org/abstracts/search?q=plasma" title=" plasma"> plasma</a>, <a href="https://publications.waset.org/abstracts/search?q=spectral%20method" title=" spectral method"> spectral method</a> </p> <a href="https://publications.waset.org/abstracts/32663/the-soliton-solution-of-the-quadratic-cubic-nonlinear-schrodinger-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/32663.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">411</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">53</span> A Trapezoidal-Like Integrator for the Numerical Solution of One-Dimensional Time Dependent Schrödinger Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Johnson%20Oladele%20Fatokun">Johnson Oladele Fatokun</a>, <a href="https://publications.waset.org/abstracts/search?q=I.%20P.%20Akpan"> I. P. Akpan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, the one-dimensional time dependent Schrödinger equation is discretized by the method of lines using a second order finite difference approximation to replace the second order spatial derivative. The evolving system of stiff ordinary differential equation (ODE) in time is solved numerically by an L-stable trapezoidal-like integrator. Results show accuracy of relative maximum error of order 10-4 in the interval of consideration. The performance of the method as compared to an existing scheme is considered favorable. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Schrodinger%E2%80%99s%20equation" title="Schrodinger’s equation">Schrodinger’s equation</a>, <a href="https://publications.waset.org/abstracts/search?q=partial%20differential%20equations" title=" partial differential equations"> partial differential equations</a>, <a href="https://publications.waset.org/abstracts/search?q=method%20of%20lines%20%28MOL%29" title=" method of lines (MOL)"> method of lines (MOL)</a>, <a href="https://publications.waset.org/abstracts/search?q=stiff%20ODE" title=" stiff ODE"> stiff ODE</a>, <a href="https://publications.waset.org/abstracts/search?q=trapezoidal-like%20integrator" title=" trapezoidal-like integrator "> trapezoidal-like integrator </a> </p> <a href="https://publications.waset.org/abstracts/11665/a-trapezoidal-like-integrator-for-the-numerical-solution-of-one-dimensional-time-dependent-schrodinger-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/11665.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">418</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">52</span> Soliton Solutions of the Higher-Order Nonlinear Schrödinger Equation with Dispersion Effects</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=H.%20Triki">H. Triki</a>, <a href="https://publications.waset.org/abstracts/search?q=Y.%20Hamaizi"> Y. Hamaizi</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20El-Akrmi"> A. El-Akrmi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We consider the higher order nonlinear Schrödinger equation model with fourth-order dispersion, cubic-quintic terms, and self-steepening. This equation governs the propagation of fem to second pulses in optical fibers. We present new bright and dark solitary wave type solutions for such a model under certain parametric conditions. This kind of solution may be useful to explain some physical phenomena related to wave propagation in a nonlinear optical fiber systems supporting high-order nonlinear and dispersive effects. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20Schr%C3%B6dinger%20equation" title="nonlinear Schrödinger equation">nonlinear Schrödinger equation</a>, <a href="https://publications.waset.org/abstracts/search?q=high-order%20effects" title=" high-order effects"> high-order effects</a>, <a href="https://publications.waset.org/abstracts/search?q=soliton%20solution" title=" soliton solution"> soliton solution</a> </p> <a href="https://publications.waset.org/abstracts/11564/soliton-solutions-of-the-higher-order-nonlinear-schrodinger-equation-with-dispersion-effects" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/11564.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">635</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">51</span> Exact Solutions of a Nonlinear Schrodinger Equation with Kerr Law Nonlinearity</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Muna%20Alghabshi">Muna Alghabshi</a>, <a href="https://publications.waset.org/abstracts/search?q=Edmana%20Krishnan"> Edmana Krishnan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A nonlinear Schrodinger equation has been considered for solving by mapping methods in terms of Jacobi elliptic functions (JEFs). The equation under consideration has a linear evolution term, linear and nonlinear dispersion terms, the Kerr law nonlinearity term and three terms representing the contribution of meta materials. This equation which has applications in optical fibers is found to have soliton solutions, shock wave solutions, and singular wave solutions when the modulus of the JEFs approach 1 which is the infinite period limit. The equation with special values of the parameters has also been solved using the tanh method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jacobi%20elliptic%20function" title="Jacobi elliptic function">Jacobi elliptic function</a>, <a href="https://publications.waset.org/abstracts/search?q=mapping%20methods" title=" mapping methods"> mapping methods</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20Schrodinger%20Equation" title=" nonlinear Schrodinger Equation"> nonlinear Schrodinger Equation</a>, <a href="https://publications.waset.org/abstracts/search?q=tanh%20method" title=" tanh method"> tanh method</a> </p> <a href="https://publications.waset.org/abstracts/55053/exact-solutions-of-a-nonlinear-schrodinger-equation-with-kerr-law-nonlinearity" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/55053.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">314</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">50</span> Stern-Gerlach Force in Quantum Magnetic Field and Schrodinger's Cat</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mandip%20Singh">Mandip Singh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Quantum entanglement plays a fundamental role in our understanding of counter-intuitive aspects of quantum reality. If classical physics is an approximation of quantum physics, then quantum entanglement should persist at a macroscopic scale. In this paper, a thought experiment is presented where a free falling spin polarized Bose-Einstein condensate interacts with a quantum superimposed magnetic field of nonzero gradient. In contrast to the semiclassical Stern-Gerlach experiment, the magnetic field and the spin degrees of freedom both are considered to be quantum mechanical in a generalized scenario. As a consequence, a Bose-Einstein condensate can be prepared at distinct locations in space in a sense of quantum superposition. In addition, the generation of Schrodinger-cat like quantum states shall be presented. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Schrodinger-cat%20quantum%20states" title="Schrodinger-cat quantum states">Schrodinger-cat quantum states</a>, <a href="https://publications.waset.org/abstracts/search?q=macroscopic%20entanglement" title=" macroscopic entanglement"> macroscopic entanglement</a>, <a href="https://publications.waset.org/abstracts/search?q=macroscopic%20quantum%20fields" title=" macroscopic quantum fields"> macroscopic quantum fields</a>, <a href="https://publications.waset.org/abstracts/search?q=foundations%20of%20quantum%20physics" title=" foundations of quantum physics"> foundations of quantum physics</a> </p> <a href="https://publications.waset.org/abstracts/74746/stern-gerlach-force-in-quantum-magnetic-field-and-schrodingers-cat" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/74746.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">189</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">49</span> Analytical Solutions to the N-Dimensional Schrödinger Equation with a Collective Potential Model to Study Energy Spectra Andthermodynamic Properties of Selected Diatomic Molecules</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=BenedictI%20Ita">BenedictI Ita</a>, <a href="https://publications.waset.org/abstracts/search?q=Etido%20P.%20Inyang"> Etido P. Inyang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this work, the resolutions of the N-dimensional Schrödinger equation with the screened modified Kratzerplus inversely quadratic Yukawa potential (SMKIQYP) have been obtained with the Greene-Aldrich approximation scheme using the Nikiforov-Uvarov method. The eigenvalues and the normalized eigenfunctions are obtained. We then apply the energy spectrum to study four (HCl, N₂, NO, and CO) diatomic molecules. The results show that the energy spectra of these diatomic molecules increase as quantum numbers increase. The energy equation was also used to calculate the partition function and other thermodynamic properties. We predicted the partition function of CO and NO. To check the accuracy of our work, the special case (Modified Kratzer and screened Modified Kratzer potentials) of the collective potential energy eigenvalues agrees excellently with the existing literature. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Schr%C3%B6dinger%20equation" title="Schrödinger equation">Schrödinger equation</a>, <a href="https://publications.waset.org/abstracts/search?q=Nikiforov-Uvarov%20method" title=" Nikiforov-Uvarov method"> Nikiforov-Uvarov method</a>, <a href="https://publications.waset.org/abstracts/search?q=modified%20screened%20Kratzer" title=" modified screened Kratzer"> modified screened Kratzer</a>, <a href="https://publications.waset.org/abstracts/search?q=inversely%20quadratic%20Yukawa%20potential" title=" inversely quadratic Yukawa potential"> inversely quadratic Yukawa potential</a>, <a href="https://publications.waset.org/abstracts/search?q=diatomic%20molecules" title=" diatomic molecules"> diatomic molecules</a> </p> <a href="https://publications.waset.org/abstracts/152962/analytical-solutions-to-the-n-dimensional-schrodinger-equation-with-a-collective-potential-model-to-study-energy-spectra-andthermodynamic-properties-of-selected-diatomic-molecules" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/152962.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">84</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">48</span> Energy States of Some Diatomic Molecules: Exact Quantization Rule Approach</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Babatunde%20J.%20Falaye">Babatunde J. Falaye</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study, we obtain the approximate analytical solutions of the radial Schrödinger equation for the Deng-Fan diatomic molecular potential by using exact quantization rule approach. The wave functions have been expressed by hypergeometric functions via the functional analysis approach. An extension to rotational-vibrational energy eigenvalues of some diatomic molecules are also presented. It is shown that the calculated energy levels are in good agreement with the ones obtained previously E_nl-D (shifted Deng-Fan). <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Schr%C3%B6dinger%20equation" title="Schrödinger equation">Schrödinger equation</a>, <a href="https://publications.waset.org/abstracts/search?q=exact%20quantization%20rule" title=" exact quantization rule"> exact quantization rule</a>, <a href="https://publications.waset.org/abstracts/search?q=functional%20analysis" title=" functional analysis"> functional analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=Deng-Fan%20potential" title=" Deng-Fan potential"> Deng-Fan potential</a> </p> <a href="https://publications.waset.org/abstracts/17622/energy-states-of-some-diatomic-molecules-exact-quantization-rule-approach" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/17622.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">499</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">47</span> Dynamics of Light Induced Current in 1D Coupled Quantum Dots</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Tokuei%20Sako">Tokuei Sako</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Laser-induced current in a quasi-one-dimensional nanostructure has been studied by a model of a few electrons confined in a 1D electrostatic potential coupled to electrodes at both ends and subjected to a pulsed laser field. The time-propagation of the one- and two-electron wave packets has been calculated by integrating the time-dependent Schrödinger equation directly by the symplectic integrator method with uniform Fourier grid. The temporal behavior of the resultant light-induced current in the studied systems has been discussed with respect to the lifetime of the quasi-bound states formed when the static bias voltage is applied. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=pulsed%20laser%20field" title="pulsed laser field">pulsed laser field</a>, <a href="https://publications.waset.org/abstracts/search?q=nanowire" title=" nanowire"> nanowire</a>, <a href="https://publications.waset.org/abstracts/search?q=electron%20wave%20packet" title=" electron wave packet"> electron wave packet</a>, <a href="https://publications.waset.org/abstracts/search?q=quantum%20dots" title=" quantum dots"> quantum dots</a>, <a href="https://publications.waset.org/abstracts/search?q=time-dependent%20Schr%C3%B6dinger%20equation" title=" time-dependent Schrödinger equation"> time-dependent Schrödinger equation</a> </p> <a href="https://publications.waset.org/abstracts/22996/dynamics-of-light-induced-current-in-1d-coupled-quantum-dots" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/22996.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">356</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">46</span> Propagation of W Shaped of Solitons in Fiber Bragg Gratings</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mezghiche%20Kamel">Mezghiche Kamel</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We present solitary wave solutions for the perturbed nonlinear Schrodinger (PNLS) equation describing propagation of femtosecond light pulses through the ﬁber Bragg grating structure where the pulse dynamics is governed by the nonlinear-coupled mode (NLCM) equations. Using the multiple scale analysis, we reduce the NLCM equations into the perturbed nonlinear Schrodinger (PNLS) type equation. Unlike the reported solitary wave solutions of the PNLS equation, the novel ones can describe W shaped of solitons and their properties. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=%EF%AC%81ber%20bragg%20grating" title="ﬁber bragg grating">ﬁber bragg grating</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear-coupled%20mode%20equations" title=" nonlinear-coupled mode equations"> nonlinear-coupled mode equations</a>, <a href="https://publications.waset.org/abstracts/search?q=w%20shaped%20of%20solitons" title=" w shaped of solitons"> w shaped of solitons</a>, <a href="https://publications.waset.org/abstracts/search?q=PNLS" title=" PNLS"> PNLS</a> </p> <a href="https://publications.waset.org/abstracts/12669/propagation-of-w-shaped-of-solitons-in-fiber-bragg-gratings" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/12669.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">769</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">45</span> Relativistic Energy Analysis for Some q Deformed Shape Invariant Potentials in D Dimensions Using SUSYQM Approach</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20Suparmi">A. Suparmi</a>, <a href="https://publications.waset.org/abstracts/search?q=C.%20Cari"> C. Cari</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Yunianto"> M. Yunianto</a>, <a href="https://publications.waset.org/abstracts/search?q=B.%20N.%20Pratiwi"> B. N. Pratiwi </a> </p> <p class="card-text"><strong>Abstract:</strong></p> D-dimensional Dirac equations of q-deformed shape invariant potentials were solved using supersymmetric quantum mechanics (SUSY QM) in the case of exact spin symmetry. The D dimensional radial Dirac equation for shape invariant potential reduces to one-dimensional Schrodinger type equation by an appropriate variable and parameter change. The relativistic energy spectra were analyzed by using SUSY QM and shape invariant properties from radial D dimensional Dirac equation that have reduced to one dimensional Schrodinger type equation. The SUSY operator was used to generate the D dimensional relativistic radial wave functions, the relativistic energy equation reduced to the non-relativistic energy in the non-relativistic limit. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=D-dimensional%20dirac%20equation" title="D-dimensional dirac equation">D-dimensional dirac equation</a>, <a href="https://publications.waset.org/abstracts/search?q=non-central%20potential" title=" non-central potential"> non-central potential</a>, <a href="https://publications.waset.org/abstracts/search?q=SUSY%20QM" title=" SUSY QM"> SUSY QM</a>, <a href="https://publications.waset.org/abstracts/search?q=radial%20wave%20function" title=" radial wave function"> radial wave function</a> </p> <a href="https://publications.waset.org/abstracts/43601/relativistic-energy-analysis-for-some-q-deformed-shape-invariant-potentials-in-d-dimensions-using-susyqm-approach" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/43601.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">344</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">44</span> On the Homology Modeling, Structural Function Relationship and Binding Site Prediction of Human Alsin Protein</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Y.%20Ruchi">Y. Ruchi</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Prerna"> A. Prerna</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20Deepshikha"> S. Deepshikha </a> </p> <p class="card-text"><strong>Abstract:</strong></p> Amyotrophic lateral sclerosis (ALS), also known as “Lou Gehrig’s disease”. It is a neurodegenerative disease associated with degeneration of motor neurons in the cerebral cortex, brain stem, and spinal cord characterized by distal muscle weakness, atrophy, normal sensation, pyramidal signs and progressive muscular paralysis reflecting. ALS2 is a juvenile autosomal recessive disorder, slowly progressive, that maps to chromosome 2q33 and is associated with mutations in the alsin gene, a putative GTPase regulator. In this paper we have done homology modeling of alsin2 protein using multiple templates (3KCI_A, 4LIM_A, 402W_A, 4D9S_A, and 4DNV_A) designed using the Prime program in Schrödinger software. Further modeled structure is used to identify effective binding sites on the basis of structural and physical properties using sitemap program in Schrödinger software, structural and function analysis is done by using Prosite and ExPASy server that gives insight into conserved domains and motifs that can be used for protein classification. This paper summarizes the structural, functional and binding site property of alsin2 protein. These binding sites can be potential drug target sites and can be used for docking studies. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=ALS" title="ALS">ALS</a>, <a href="https://publications.waset.org/abstracts/search?q=binding%20site" title=" binding site"> binding site</a>, <a href="https://publications.waset.org/abstracts/search?q=homology%20modeling" title=" homology modeling"> homology modeling</a>, <a href="https://publications.waset.org/abstracts/search?q=neuronal%20degeneration" title=" neuronal degeneration"> neuronal degeneration</a> </p> <a href="https://publications.waset.org/abstracts/20360/on-the-homology-modeling-structural-function-relationship-and-binding-site-prediction-of-human-alsin-protein" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/20360.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">389</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">43</span> Bandgap Engineering of CsMAPbI3-xBrx Quantum Dots for Intermediate Band Solar Cell</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Deborah%20Eric">Deborah Eric</a>, <a href="https://publications.waset.org/abstracts/search?q=Abbas%20Ahmad%20Khan"> Abbas Ahmad Khan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Lead halide perovskites quantum dots have attracted immense scientific and technological interest for successful photovoltaic applications because of their remarkable optoelectronic properties. In this paper, we have simulated CsMAPbI3-xBrx based quantum dots to implement their use in intermediate band solar cells (IBSC). These types of materials exhibit optical and electrical properties distinct from their bulk counterparts due to quantum confinement. The conceptual framework provides a route to analyze the electronic properties of quantum dots. This layer of quantum dots optimizes the position and bandwidth of IB that lies in the forbidden region of the conventional bandgap. A three-dimensional MAPbI3 quantum dot (QD) with geometries including spherical, cubic, and conical has been embedded in the CsPbBr3 matrix. Bound energy wavefunction gives rise to miniband, which results in the formation of IB. If there is more than one miniband, then there is a possibility of having more than one IB. The optimization of QD size results in more IBs in the forbidden region. One band time-independent Schrödinger equation using the effective mass approximation with step potential barrier is solved to compute the electronic states. Envelope function approximation with BenDaniel-Duke boundary condition is used in combination with the Schrödinger equation for the calculation of eigen energies and Eigen energies are solved for the quasi-bound states using an eigenvalue study. The transfer matrix method is used to study the quantum tunneling of MAPbI3 QD through neighbor barriers of CsPbI3. Electronic states are computed using Schrödinger equation with effective mass approximation by considering quantum dot and wetting layer assembly. Results have shown the varying the quantum dot size affects the energy pinning of QD. Changes in the ground, first, second state energies have been observed. The QD is non-zero at the center and decays exponentially to zero at boundaries. Quasi-bound states are characterized by envelope functions. It has been observed that conical quantum dots have maximum ground state energy at a small radius. Increasing the wetting layer thickness exhibits energy signatures similar to bulk material for each QD size. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=perovskite" title="perovskite">perovskite</a>, <a href="https://publications.waset.org/abstracts/search?q=intermediate%20bandgap" title=" intermediate bandgap"> intermediate bandgap</a>, <a href="https://publications.waset.org/abstracts/search?q=quantum%20dots" title=" quantum dots"> quantum dots</a>, <a href="https://publications.waset.org/abstracts/search?q=miniband%20formation" title=" miniband formation"> miniband formation</a> </p> <a href="https://publications.waset.org/abstracts/142302/bandgap-engineering-of-csmapbi3-xbrx-quantum-dots-for-intermediate-band-solar-cell" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/142302.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">164</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">42</span> Mapping Method to Solve a Nonlinear Schrodinger Type Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Edamana%20Vasudevan%20Krishnan">Edamana Vasudevan Krishnan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper studies solitons in optical materials with the help of Mapping Method. Two types of nonlinear media have been investigated, namely, the cubic nonlinearity and the quintic nonlinearity. The soliton solutions, shock wave solutions and singular solutions have been derives with certain constraint conditions. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=solitons" title="solitons">solitons</a>, <a href="https://publications.waset.org/abstracts/search?q=integrability" title=" integrability"> integrability</a>, <a href="https://publications.waset.org/abstracts/search?q=metamaterials" title=" metamaterials"> metamaterials</a>, <a href="https://publications.waset.org/abstracts/search?q=mapping%20method" title=" mapping method"> mapping method</a> </p> <a href="https://publications.waset.org/abstracts/32851/mapping-method-to-solve-a-nonlinear-schrodinger-type-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/32851.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">494</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">41</span> Molecular Modeling a Tool for Postulating the Mechanism of Drug Interaction: Glimepiride Alters the Pharmacokinetics of Sildenafil Citrate in Diabetic Nephropathy Animals</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Alok%20Shiomurti%20Tripathi">Alok Shiomurti Tripathi</a>, <a href="https://publications.waset.org/abstracts/search?q=Ajay%20Kumar%20Timiri"> Ajay Kumar Timiri</a>, <a href="https://publications.waset.org/abstracts/search?q=Papiya%20Mitra%20Mazumder"> Papiya Mitra Mazumder</a>, <a href="https://publications.waset.org/abstracts/search?q=Anil%20Chandewar"> Anil Chandewar </a> </p> <p class="card-text"><strong>Abstract:</strong></p> The present study evaluates the possible drug interaction between glimepiride (GLIM) and sildenafil citrate (SIL) in streptozotocin (STZ) induced in diabetic nephropathic (DN) animals and also postulates the possible mechanism of interaction by molecular modeling studies. Diabetic nephropathy was induced by single dose of STZ (60 mg/kg, ip) and confirms it by assessing the blood and urine biochemical parameters on 28th day of its induction. Selected DN animals were used for the drug interaction between GLIM (0.5mg/kg, p.o.) and SIL (2.5 mg/kg, p.o.) after 29th and 70th day of protocol. Drug interaction were assessed by evaluating the plasma drug concentration using HPLC-UV and also determine the change in the biochemical parameter in blood and urine. Mechanism of the interaction was postulated by molecular modeling study using Maestro module of Schrodinger software. DN was confirmed as there was significant alteration in the blood and urine biochemical parameter in STZ treated groups. The concentration of SIL increased significantly (p<0.001) in rat plasma when co administered with GLIM after 70th day of protocol. Molecular modelling study revealed few important interactions with rat serum albumin and CYP2C9.GLIM has strong hydrophobic interaction with binding site residues of rat serum albumin compared to SIL. Whereas, for CYP2C9, GLIM has strong hydrogen bond with polar contacts and hydrophobic interactions than SIL. Present study concludes that bioavailability of SIL increases when co-administered chronically with GLIM in the management of DN animals and mechanism has been supported by molecular modeling studies. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=diabetic%20nephropathy" title="diabetic nephropathy">diabetic nephropathy</a>, <a href="https://publications.waset.org/abstracts/search?q=glimepiride" title=" glimepiride"> glimepiride</a>, <a href="https://publications.waset.org/abstracts/search?q=sildenafil%20citrate" title=" sildenafil citrate"> sildenafil citrate</a>, <a href="https://publications.waset.org/abstracts/search?q=pharmacokinetics" title=" pharmacokinetics"> pharmacokinetics</a>, <a href="https://publications.waset.org/abstracts/search?q=homology%20modeling" title=" homology modeling"> homology modeling</a>, <a href="https://publications.waset.org/abstracts/search?q=schrodinger" title=" schrodinger"> schrodinger</a> </p> <a href="https://publications.waset.org/abstracts/39956/molecular-modeling-a-tool-for-postulating-the-mechanism-of-drug-interaction-glimepiride-alters-the-pharmacokinetics-of-sildenafil-citrate-in-diabetic-nephropathy-animals" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/39956.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">378</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">40</span> Tailoring Quantum Oscillations of Excitonic Schrodinger’s Cats as Qubits</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Amit%20Bhunia">Amit Bhunia</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohit%20Kumar%20Singh"> Mohit Kumar Singh</a>, <a href="https://publications.waset.org/abstracts/search?q=Maryam%20Al%20Huwayz"> Maryam Al Huwayz</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohamed%20Henini"> Mohamed Henini</a>, <a href="https://publications.waset.org/abstracts/search?q=Shouvik%20Datta"> Shouvik Datta</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We report [https://arxiv.org/abs/2107.13518] experimental detection and control of Schrodinger’s Cat like macroscopically large, quantum coherent state of a two-component Bose-Einstein condensate of spatially indirect electron-hole pairs or excitons using a resonant tunneling diode of III-V Semiconductors. This provides access to millions of excitons as qubits to allow efficient, fault-tolerant quantum computation. In this work, we measure phase-coherent periodic oscillations in photo-generated capacitance as a function of an applied voltage bias and light intensity over a macroscopically large area. Periodic presence and absence of splitting of excitonic peaks in the optical spectra measured by photocapacitance point towards tunneling induced variations in capacitive coupling between the quantum well and quantum dots. Observation of negative ‘quantum capacitance’ due to a screening of charge carriers by the quantum well indicates Coulomb correlations of interacting excitons in the plane of the sample. We also establish that coherent resonant tunneling in this well-dot heterostructure restricts the available momentum space of the charge carriers within this quantum well. Consequently, the electric polarization vector of the associated indirect excitons collective orients along the direction of applied bias and these excitons undergo Bose-Einstein condensation below ~100 K. Generation of interference beats in photocapacitance oscillation even with incoherent white light further confirm the presence of stable, long-range spatial correlation among these indirect excitons. We finally demonstrate collective Rabi oscillations of these macroscopically large, ‘multipartite’, two-level, coupled and uncoupled quantum states of excitonic condensate as qubits. Therefore, our study not only brings the physics and technology of Bose-Einstein condensation within the reaches of semiconductor chips but also opens up experimental investigations of the fundamentals of quantum physics using similar techniques. Operational temperatures of such two-component excitonic BEC can be raised further with a more densely packed, ordered array of QDs and/or using materials having larger excitonic binding energies. However, fabrications of single crystals of 0D-2D heterostructures using 2D materials (e.g. transition metal di-chalcogenides, oxides, perovskites etc.) having higher excitonic binding energies are still an open challenge for semiconductor optoelectronics. As of now, these 0D-2D heterostructures can already be scaled up for mass production of miniaturized, portable quantum optoelectronic devices using the existing III-V and/or Nitride based semiconductor fabrication technologies. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=exciton" title="exciton">exciton</a>, <a href="https://publications.waset.org/abstracts/search?q=Bose-Einstein%20condensation" title=" Bose-Einstein condensation"> Bose-Einstein condensation</a>, <a href="https://publications.waset.org/abstracts/search?q=quantum%20computation" title=" quantum computation"> quantum computation</a>, <a href="https://publications.waset.org/abstracts/search?q=heterostructures" title=" heterostructures"> heterostructures</a>, <a href="https://publications.waset.org/abstracts/search?q=semiconductor%20Physics" title=" semiconductor Physics"> semiconductor Physics</a>, <a href="https://publications.waset.org/abstracts/search?q=quantum%20fluids" title=" quantum fluids"> quantum fluids</a>, <a href="https://publications.waset.org/abstracts/search?q=Schrodinger%27s%20Cat" title=" Schrodinger's Cat"> Schrodinger's Cat</a> </p> <a href="https://publications.waset.org/abstracts/141320/tailoring-quantum-oscillations-of-excitonic-schrodingers-cats-as-qubits" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/141320.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">180</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">39</span> Fast-Forward Problem in Asymmetric Double-Well Potential</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Iwan%20Setiawan">Iwan Setiawan</a>, <a href="https://publications.waset.org/abstracts/search?q=Bobby%20Eka%20Gunara"> Bobby Eka Gunara</a>, <a href="https://publications.waset.org/abstracts/search?q=Katshuhiro%20Nakamura"> Katshuhiro Nakamura</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The theory to accelerate system on quantum dynamics has been constructed to get the desired wave function on shorter time. This theory is developed on adiabatic quantum dynamics which any regulation is done on wave function that satisfies Schrödinger equation. We show accelerated manipulation of WFs with the use of a parameter-dependent in asymmetric double-well potential and also when it’s influenced by electromagnetic fields. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=driving%20potential" title="driving potential">driving potential</a>, <a href="https://publications.waset.org/abstracts/search?q=Adiabatic%20Quantum%20Dynamics" title=" Adiabatic Quantum Dynamics"> Adiabatic Quantum Dynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=regulation" title=" regulation"> regulation</a>, <a href="https://publications.waset.org/abstracts/search?q=electromagnetic%20field" title=" electromagnetic field"> electromagnetic field</a> </p> <a href="https://publications.waset.org/abstracts/46220/fast-forward-problem-in-asymmetric-double-well-potential" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/46220.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">338</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">38</span> On the Internal Structure of the ‘Enigmatic Electrons’</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Natarajan%20Tirupattur%20Srinivasan">Natarajan Tirupattur Srinivasan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Quantum mechanics( QM) and (special) relativity (SR) have indeed revolutionized the very thinking of physicists, and the spectacular successes achieved over a century due to these two theories are mind-boggling. However, there is still a strong disquiet among some physicists. While the mathematical structure of these two theories has been established beyond any doubt, their physical interpretations are still being contested by many. Even after a hundred years of their existence, we cannot answer a very simple question, “What is an electron”? Physicists are struggling even now to come to grips with the different interpretations of quantum mechanics with all their ramifications. However, it is indeed strange that the (special) relativity theory of Einstein enjoys many orders of magnitude of “acceptance”, though both theories have their own stocks of weirdness in the results, like time dilation, mass increase with velocity, the collapse of the wave function, quantum jump, tunnelling, etc. Here, in this paper, it would be shown that by postulating an intrinsic internal motion to these enigmatic electrons, one can build a fairly consistent picture of reality, revealing a very simple picture of nature. This is also evidenced by Schrodinger’s ‘Zitterbewegung’ motion, about which so much has been written. This leads to a helical trajectory of electrons when they move in a laboratory frame. It will be shown that the helix is a three-dimensional wave having all the characteristics of our familiar 2D wave. Again, the helix, being a geodesic on an imaginary cylinder, supports ‘quantization’, and its representation is just the complex exponentials matching with the wave function of quantum mechanics. By postulating the instantaneous velocity of the electrons to be always ‘c’, the velocity of light, the entire relativity comes alive, and we can interpret the ‘time dilation’, ‘mass increase with velocity’, etc., in a very simple way. Thus, this model unifies both QM and SR without the need for a counterintuitive postulate of Einstein about the constancy of the velocity of light for all inertial observers. After all, if the motion of an inertial frame cannot affect the velocity of light, the converse that this constant also cannot affect the events in the frame must be true. But entire relativity is about how ‘c’ affects time, length, mass, etc., in different frames. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=quantum%20reconstruction" title="quantum reconstruction">quantum reconstruction</a>, <a href="https://publications.waset.org/abstracts/search?q=special%20theory%20of%20relativity" title=" special theory of relativity"> special theory of relativity</a>, <a href="https://publications.waset.org/abstracts/search?q=quantum%20mechanics" title=" quantum mechanics"> quantum mechanics</a>, <a href="https://publications.waset.org/abstracts/search?q=zitterbewegung" title=" zitterbewegung"> zitterbewegung</a>, <a href="https://publications.waset.org/abstracts/search?q=complex%20wave%20function" title=" complex wave function"> complex wave function</a>, <a href="https://publications.waset.org/abstracts/search?q=helix" title=" helix"> helix</a>, <a href="https://publications.waset.org/abstracts/search?q=geodesic" title=" geodesic"> geodesic</a>, <a href="https://publications.waset.org/abstracts/search?q=Schrodinger%E2%80%99s%20wave%20equations" title=" Schrodinger’s wave equations"> Schrodinger’s wave equations</a> </p> <a href="https://publications.waset.org/abstracts/171323/on-the-internal-structure-of-the-enigmatic-electrons" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/171323.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">73</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">37</span> Static Properties of Ge and Sr Isotopes in the Cluster Model</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohammad%20Reza%20Shojaei">Mohammad Reza Shojaei</a>, <a href="https://publications.waset.org/abstracts/search?q=Mahdeih%20Mirzaeinia"> Mahdeih Mirzaeinia</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We have studied the cluster structure of even-even stable isotopes of Ge and Sr. The Schrodinger equation has been solved using the generalized parametric Nikiforov-Uvarov method with a phenomenological potential. This potential is the sum of the attractive Yukawa-like potential, a Manning-Rosen-type potential, and the repulsive Yukawa potential for interaction between the cluster and the core. We have shown that the available experimental data of the first rotational band energies can be well described by assuming a binary system of the α cluster and the core and using an analytical solution. Our results were consistent with experimental values. Hence, this model can be applied to study the other even-even isotopes <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=cluser%20model" title="cluser model">cluser model</a>, <a href="https://publications.waset.org/abstracts/search?q=NU%20method" title=" NU method"> NU method</a>, <a href="https://publications.waset.org/abstracts/search?q=ge%20and%20Sr" title=" ge and Sr"> ge and Sr</a>, <a href="https://publications.waset.org/abstracts/search?q=potential%20central" title=" potential central"> potential central</a> </p> <a href="https://publications.waset.org/abstracts/156406/static-properties-of-ge-and-sr-isotopes-in-the-cluster-model" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/156406.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">76</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">36</span> Laser Induced Transient Current in Quasi-One-Dimensional Nanostructure</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Tokuei%20Sako">Tokuei Sako</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Light-induced ultrafast charge transfer in low-dimensional nanostructure has been studied by a model of a few electrons confined in a 1D electrostatic potential coupled to electrodes at both ends and subjected to an ultrashort pulsed laser field. The time-propagation of the one- and two-electron wave packets has been calculated by integrating the time-dependent Schrödinger equation by the symplectic integrator method with uniform Fourier grid. The temporal behavior of the resultant light-induced current in the studied systems has been discussed with respect to the central frequency and pulse width of the applied laser fields. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=pulsed%20laser%20field" title="pulsed laser field">pulsed laser field</a>, <a href="https://publications.waset.org/abstracts/search?q=nanowire" title=" nanowire"> nanowire</a>, <a href="https://publications.waset.org/abstracts/search?q=wave%20packet" title=" wave packet"> wave packet</a>, <a href="https://publications.waset.org/abstracts/search?q=quantum%20dots" title=" quantum dots"> quantum dots</a>, <a href="https://publications.waset.org/abstracts/search?q=conductivity" title=" conductivity"> conductivity</a> </p> <a href="https://publications.waset.org/abstracts/19313/laser-induced-transient-current-in-quasi-one-dimensional-nanostructure" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/19313.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">509</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">35</span> Numerical Study of Blackness Factor Effect on Dark Solitons</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Khelil%20Khadidja">Khelil Khadidja</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, blackness of dark solitons is considered. The exact combination between nonlinearity and dispersion is responsible of solitons stability. Dark solitons get born when dispersion is abnormal and balanced by nonlinearity, at the opposite of brillant solitons which is born by normal dispersion and nonlinearity together. Thanks to their stability, dark solitons are suitable for transmission by optical fibers. Dark solitons which are a solution of Nonlinear Schrodinger equation are simulated with Matlab to discuss the influence of coefficient of blackness. Results show that there is a direct proportion between the coefficient of blackness and the intensity of dark soliton. Those gray solitons are stable and convenient for transmission. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=abnormal%20dispersion" title="abnormal dispersion">abnormal dispersion</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinearity" title=" nonlinearity"> nonlinearity</a>, <a href="https://publications.waset.org/abstracts/search?q=optical%20fiber" title=" optical fiber"> optical fiber</a>, <a href="https://publications.waset.org/abstracts/search?q=soliton" title=" soliton"> soliton</a> </p> <a href="https://publications.waset.org/abstracts/80445/numerical-study-of-blackness-factor-effect-on-dark-solitons" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/80445.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">198</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">34</span> Closed Form Exact Solution for Second Order Linear Differential Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Saeed%20Otarod">Saeed Otarod</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In a different simple and straight forward analysis a closed-form integral solution is found for nonhomogeneous second order linear ordinary differential equations, in terms of a particular solution of their corresponding homogeneous part. To find the particular solution of the homogeneous part, the equation is transformed into a simple Riccati equation from which the general solution of non-homogeneouecond order differential equation, in the form of a closed integral equation is inferred. The method works well in manyimportant cases, such as Schrödinger equation for hydrogen-like atoms. A non-homogenous second order linear differential equation has been solved as an extra example <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=explicit" title="explicit">explicit</a>, <a href="https://publications.waset.org/abstracts/search?q=linear" title=" linear"> linear</a>, <a href="https://publications.waset.org/abstracts/search?q=differential" title=" differential"> differential</a>, <a href="https://publications.waset.org/abstracts/search?q=closed%20form" title=" closed form"> closed form</a> </p> <a href="https://publications.waset.org/abstracts/185365/closed-form-exact-solution-for-second-order-linear-differential-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/185365.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">62</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">33</span> Quantum Dynamics for General Time-Dependent Three Coupled Oscillators</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Salah%20Menouar">Salah Menouar</a>, <a href="https://publications.waset.org/abstracts/search?q=Sara%20Hassoul"> Sara Hassoul</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The dynamic of time-dependent three coupled oscillators is studied through an approach based on decoupling of them using the unitary transformation method. From a first unitary transformation, the Hamiltonian of the complicated original system is transformed to an equal but a simple one associated with the three coupled oscillators of which masses are unity. Finally, we diagonalize the matrix representation of the transformed hamiltonian by using a unitary matrix. The diagonalized Hamiltonian is just the same as the Hamiltonian of three simple oscillators. Through these procedures, the coupled oscillatory subsystems are completely decoupled. From this uncouplement, we can develop complete dynamics of the whole system in an easy way by just examining each oscillator independently. Such a development of the mechanical theory can be done regardless of the complication of the parameters' variations. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=schr%C3%B6dinger%20equation" title="schrödinger equation">schrödinger equation</a>, <a href="https://publications.waset.org/abstracts/search?q=hamiltonian" title=" hamiltonian"> hamiltonian</a>, <a href="https://publications.waset.org/abstracts/search?q=time-dependent%20three%20coupled%20oscillators" title=" time-dependent three coupled oscillators"> time-dependent three coupled oscillators</a>, <a href="https://publications.waset.org/abstracts/search?q=unitary%20transformation" title=" unitary transformation"> unitary transformation</a> </p> <a href="https://publications.waset.org/abstracts/157908/quantum-dynamics-for-general-time-dependent-three-coupled-oscillators" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/157908.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">97</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">32</span> Modulational Instability of Ion-Acoustic Wave in Electron-Positron-Ion Plasmas with Two-Electron Temperature Distributions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jitendra%20Kumar%20Chawla">Jitendra Kumar Chawla</a>, <a href="https://publications.waset.org/abstracts/search?q=Mukesh%20Kumar%20Mishra"> Mukesh Kumar Mishra</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The nonlinear amplitude modulation of ion-acoustic wave is studied in the presence of two-electron temperature distribution in unmagnetized electron-positron-ion plasmas. The Krylov-Bogoliubov-Mitropolosky (KBM) perturbation method is used to derive the nonlinear Schrödinger equation. The dispersive and nonlinear coefficients are obtained which depend on the temperature and concentration of the hot and cold electron species as well as the positron density and temperature. The modulationally unstable regions are studied numerically for a wide range of wave number. The effects of the temperature and concentration of the hot and cold electron on the modulational stability are investigated in detail. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=modulational%20instability" title="modulational instability">modulational instability</a>, <a href="https://publications.waset.org/abstracts/search?q=ion%20acoustic%20wave" title=" ion acoustic wave"> ion acoustic wave</a>, <a href="https://publications.waset.org/abstracts/search?q=KBM%20method" title=" KBM method"> KBM method</a> </p> <a href="https://publications.waset.org/abstracts/28700/modulational-instability-of-ion-acoustic-wave-in-electron-positron-ion-plasmas-with-two-electron-temperature-distributions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/28700.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">665</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">31</span> Effect of Control Lasers Polarization on Absorption Coefficient and Refractive Index of a W-Type 4- Level Cylindrical Quantum Dot in the Presence Of Electromagnetically Induced Transparency (ETI)</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Marziehossadat%20Moezzi">Marziehossadat Moezzi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, electromagnetically induced transparency (EIT) is investigated in a cylindrical quantum dot (QD) with a parabolic confinement potential. We study the effect of control lasers polarization on absorption coefficient, refractive index and also on the generation of the double transparency windows in this system. Considering an effective mass method, the time-independent Schrödinger equation is solved to obtain the energy structure of the QD. Also, we study the effect of structural characteristics of the QD on refraction and absorption of the QD in the presence of EIT. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=electromagnetically%20induced%20transparency" title="electromagnetically induced transparency">electromagnetically induced transparency</a>, <a href="https://publications.waset.org/abstracts/search?q=cylindrical%20quantum%20dot" title=" cylindrical quantum dot"> cylindrical quantum dot</a>, <a href="https://publications.waset.org/abstracts/search?q=absorption%20coefficient" title=" absorption coefficient"> absorption coefficient</a>, <a href="https://publications.waset.org/abstracts/search?q=refractive%20index" title=" refractive index"> refractive index</a> </p> <a href="https://publications.waset.org/abstracts/140374/effect-of-control-lasers-polarization-on-absorption-coefficient-and-refractive-index-of-a-w-type-4-level-cylindrical-quantum-dot-in-the-presence-of-electromagnetically-induced-transparency-eti" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/140374.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">198</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">30</span> Schrödinger Equation with Position-Dependent Mass: Staggered Mass Distributions</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=J.%20J.%20Pe%C3%B1a">J. J. Peña</a>, <a href="https://publications.waset.org/abstracts/search?q=J.%20Morales"> J. Morales</a>, <a href="https://publications.waset.org/abstracts/search?q=J.%20Garc%C3%ADa-Ravelo"> J. García-Ravelo</a>, <a href="https://publications.waset.org/abstracts/search?q=L.%20Arcos-D%C3%ADaz"> L. Arcos-Díaz</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The Point canonical transformation method is applied for solving the Schrödinger equation with position-dependent mass. This class of problem has been solved for continuous mass distributions. In this work, a staggered mass distribution for the case of a free particle in an infinite square well potential has been proposed. The continuity conditions as well as normalization for the wave function are also considered. The proposal can be used for dealing with other kind of staggered mass distributions in the Schrödinger equation with different quantum potentials. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=free%20particle" title="free particle">free particle</a>, <a href="https://publications.waset.org/abstracts/search?q=point%20canonical%20transformation%20method" title=" point canonical transformation method"> point canonical transformation method</a>, <a href="https://publications.waset.org/abstracts/search?q=position-dependent%20mass" title=" position-dependent mass"> position-dependent mass</a>, <a href="https://publications.waset.org/abstracts/search?q=staggered%20mass%20distribution" title=" staggered mass distribution"> staggered mass distribution</a> </p> <a href="https://publications.waset.org/abstracts/71082/schrodinger-equation-with-position-dependent-mass-staggered-mass-distributions" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/71082.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">403</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">29</span> Soliton Interaction in Multi-Core Optical Fiber: Application to WDM System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=S.%20Arun%20Prakash">S. Arun Prakash</a>, <a href="https://publications.waset.org/abstracts/search?q=V.%20Malathi"> V. Malathi</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20S.%20Mani%20Rajan"> M. S. Mani Rajan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The analytical bright two soliton solution of the 3-coupled nonlinear Schrödinger equations with variable coefficients in birefringent optical fiber is obtained by Darboux transformation method. To the design of ultra-speed optical devices, Soliton interaction and control in birefringence fiber is investigated. Lax pair is constructed for N coupled NLS system through AKNS method. Using two soliton solution, we demonstrate different interaction behaviors of solitons in birefringent fiber depending on the choice of control parameters. Our results shows that interactions of optical solitons have some specific applications such as construction of logic gates, optical computing, soliton switching, and soliton amplification in wavelength division multiplexing (WDM) system. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=optical%20soliton" title="optical soliton">optical soliton</a>, <a href="https://publications.waset.org/abstracts/search?q=soliton%20interaction" title=" soliton interaction"> soliton interaction</a>, <a href="https://publications.waset.org/abstracts/search?q=soliton%20switching" title=" soliton switching"> soliton switching</a>, <a href="https://publications.waset.org/abstracts/search?q=WDM" title=" WDM"> WDM</a> </p> <a href="https://publications.waset.org/abstracts/37276/soliton-interaction-in-multi-core-optical-fiber-application-to-wdm-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/37276.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">505</span> </span> </div> </div> <ul class="pagination"> <li class="page-item disabled"><span class="page-link">&lsaquo;</span></li> <li class="page-item active"><span class="page-link">1</span></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=schrodinger&page=2">2</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=schrodinger&page=2" rel="next">&rsaquo;</a></li> </ul> </div> </main> <footer> <div id="infolinks" class="pt-3 pb-2"> <div class="container"> <div style="background-color:#f5f5f5;" class="p-3"> <div class="row"> <div class="col-md-2"> <ul class="list-unstyled"> About <li><a href="https://waset.org/page/support">About Us</a></li> <li><a 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