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Quantum)","url":"https://www.academia.edu/Documents/in/Gravity_classical_and_Quantum_?f_ri=34754"},{"id":912885,"name":"Gamma Ray","url":"https://www.academia.edu/Documents/in/Gamma_Ray?f_ri=34754"},{"id":1402672,"name":"Quasinormal Modes","url":"https://www.academia.edu/Documents/in/Quasinormal_Modes?f_ri=34754"},{"id":1636332,"name":"Direct search methods","url":"https://www.academia.edu/Documents/in/Direct_search_methods?f_ri=34754"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_75355082" data-work_id="75355082" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/75355082/Polarization_dependent_sensitivity_of_level_crossing_coherent_population_trapping_resonances_to_stray_magnetic_fields">Polarization-dependent sensitivity of level-crossing, coherent-population-trapping resonances to stray magnetic fields</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">Coherent-population-trapping resonances within the degenerate two-level system of the F=2→F'=1 transition of the 87 Rb D1 line were investigated in an uncoated Rb vapor cell by means of level-crossing-type experiments. Tuning over the... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_75355082" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Coherent-population-trapping resonances within the degenerate two-level system of the F=2→F'=1 transition of the 87 Rb D1 line were investigated in an uncoated Rb vapor cell by means of level-crossing-type experiments. Tuning over the two-photon resonance is achieved sweeping a magnetic field around zero value. The influence of transverse magnetic fields on the amplitude and the width of the resonances, recorded in fluorescence and absorption, were investigated in the cases of excitation with linear, circular, and elliptical laser light polarization. A theoretical analysis was performed for the case of linearly polarized excitation, the results of which are in good agreement with the experiment.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/75355082" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="638f3125f89de06229a20bc15f12eb7b" rel="nofollow" data-download="{"attachment_id":83265446,"asset_id":75355082,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/83265446/download_file?st=MTczMjgwNTExNSw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="38612867" href="https://bas.academia.edu/GeorgyTodorov">Georgy Todorov</a><script data-card-contents-for-user="38612867" type="text/json">{"id":38612867,"first_name":"Georgy","last_name":"Todorov","domain_name":"bas","page_name":"GeorgyTodorov","display_name":"Georgy Todorov","profile_url":"https://bas.academia.edu/GeorgyTodorov?f_ri=34754","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_75355082 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="75355082"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 75355082, container: ".js-paper-rank-work_75355082", }); 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Tuning over the two-photon resonance is achieved sweeping a magnetic field around zero value. The influence of transverse magnetic fields on the amplitude and the width of the resonances, recorded in fluorescence and absorption, were investigated in the cases of excitation with linear, circular, and elliptical laser light polarization. A theoretical analysis was performed for the case of linearly polarized excitation, the results of which are in good agreement with the experiment.","downloadable_attachments":[{"id":83265446,"asset_id":75355082,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":38612867,"first_name":"Georgy","last_name":"Todorov","domain_name":"bas","page_name":"GeorgyTodorov","display_name":"Georgy Todorov","profile_url":"https://bas.academia.edu/GeorgyTodorov?f_ri=34754","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":305,"name":"Applied Mathematics","url":"https://www.academia.edu/Documents/in/Applied_Mathematics?f_ri=34754","nofollow":false},{"id":498,"name":"Physics","url":"https://www.academia.edu/Documents/in/Physics?f_ri=34754","nofollow":false},{"id":34754,"name":"Magnetic field","url":"https://www.academia.edu/Documents/in/Magnetic_field?f_ri=34754","nofollow":false},{"id":108855,"name":"Coherent Population 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All sites are dated based on archaeological information and... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_69086642" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">Three kilns and a collection of baked bricks from Italian archaeological sites have been studied for archaeointensity determination using the Thellier method as modified by Coe. All sites are dated based on archaeological information and their ages range from 500 to 800 AD and 1500 to 1700 AD. Rock magnetic studies identify magnetite, Ti- magnetite and hematite as the main magnetic minerals, and magnetic susceptibility versus temperature shows a good thermal stability of the samples. The intensity results have been corrected for anisotropy of the thermoremanent magnetization and cooling rate effects. The new data together with 136 previously published results are used to estimate the variation of the Earth&#39;s magnetic field over the past three millennia. The time distribution of the Italian absolute intensity data is irregular with the majority of determinations concentrated during the last four centuries, while older periods are very poorly covered. Most of the data come from vo...</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/69086642" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="f78b1e65e5068b00c9860e71cbdab5b3" rel="nofollow" data-download="{"attachment_id":79319687,"asset_id":69086642,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/79319687/download_file?st=MTczMjgwNTExNSw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="54784664" href="https://independent.academia.edu/CampsPierre">Pierre Camps</a><script data-card-contents-for-user="54784664" type="text/json">{"id":54784664,"first_name":"Pierre","last_name":"Camps","domain_name":"independent","page_name":"CampsPierre","display_name":"Pierre Camps","profile_url":"https://independent.academia.edu/CampsPierre?f_ri=34754","photo":"https://0.academia-photos.com/54784664/18199492/18180730/s65_pierre.camps.png"}</script></span></span></li><li class="js-paper-rank-work_69086642 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="69086642"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 69086642, container: ".js-paper-rank-work_69086642", }); 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can be no direct first order transition between a Fermi liquid and an insulating electronic (Wigner) crystalline phase in a clean two-dimensional electron gas in a metal-oxide-semiconductor field-effect transistor... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_69533519" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">We show that there can be no direct first order transition between a Fermi liquid and an insulating electronic (Wigner) crystalline phase in a clean two-dimensional electron gas in a metal-oxide-semiconductor field-effect transistor (MOSFET); rather, there must always exist intermediate ``micro-emulsion&#39;&#39; phases, and an accompanying sequence of continuous phase transitions. Among the intermediate phases which we find are a variety of electronic liquid crystalline phases, including stripe-related analogues of classical smectics and nematics. The existence of these phases can be established in the neighborhood of the phase boundaries on the basis of an {\it asymptotically exact} analysis, and reasonable estimates can be made concerning the ranges of electron densities and device geometries in which they exist. They can occur in clean Si MOSFETs in the range of densities in which an ``apparent metal to insulator transition&#39;&#39; has been observed in existing experiments. 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rather, there must always exist intermediate ``micro-emulsion\u0026#39;\u0026#39; phases, and an accompanying sequence of continuous phase transitions. Among the intermediate phases which we find are a variety of electronic liquid crystalline phases, including stripe-related analogues of classical smectics and nematics. The existence of these phases can be established in the neighborhood of the phase boundaries on the basis of an {\\it asymptotically exact} analysis, and reasonable estimates can be made concerning the ranges of electron densities and device geometries in which they exist. They can occur in clean Si MOSFETs in the range of densities in which an ``apparent metal to insulator transition\u0026#39;\u0026#39; has been observed in existing experiments. 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Physics","url":"https://www.academia.edu/Documents/in/Quantum_Physics?f_ri=34754","nofollow":false},{"id":721,"name":"Magnetohydrodynamics","url":"https://www.academia.edu/Documents/in/Magnetohydrodynamics?f_ri=34754","nofollow":false},{"id":16619,"name":"Early Universe","url":"https://www.academia.edu/Documents/in/Early_Universe?f_ri=34754","nofollow":false},{"id":34754,"name":"Magnetic field","url":"https://www.academia.edu/Documents/in/Magnetic_field?f_ri=34754"},{"id":151145,"name":"Dispersion Relation","url":"https://www.academia.edu/Documents/in/Dispersion_Relation?f_ri=34754"},{"id":758278,"name":"Large Scale","url":"https://www.academia.edu/Documents/in/Large_Scale?f_ri=34754"},{"id":892890,"name":"Point of View","url":"https://www.academia.edu/Documents/in/Point_of_View?f_ri=34754"},{"id":2216064,"name":"Energy function","url":"https://www.academia.edu/Documents/in/Energy_function?f_ri=34754"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 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type="text/json">{"id":721,"name":"Magnetohydrodynamics","url":"https://www.academia.edu/Documents/in/Magnetohydrodynamics?f_ri=34754","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="34754" href="https://www.academia.edu/Documents/in/Magnetic_field">Magnetic field</a><script data-card-contents-for-ri="34754" type="text/json">{"id":34754,"name":"Magnetic field","url":"https://www.academia.edu/Documents/in/Magnetic_field?f_ri=34754","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=69118723]'), work: {"id":69118723,"title":"An Elementary Introduction to Solar Dynamo 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})();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_56265170 coauthored" data-work_id="56265170" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/56265170/Head_on_collision_of_dust_acoustic_solitary_waves_in_an_adiabatic_hot_dusty_plasma_with_external_oblique_magnetic_field_and_two_temperature_ions">Head-on collision of dust-acoustic solitary waves in an adiabatic hot dusty plasma with external oblique magnetic field and two-temperature ions</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">In the present paper, the characteristics of the head-on collision between two dust-acoustic solitary waves (DASWs) in an adiabatic dusty plasma consisting of variable negatively charged dust grains, isothermal electrons and... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_56265170" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">In the present paper, the characteristics of the head-on collision between two dust-acoustic solitary waves (DASWs) in an adiabatic dusty plasma consisting of variable negatively charged dust grains, isothermal electrons and two-temperature isothermal ions in the presence of an external oblique magnetic field are investigated. Using the extended Poincaré–Lighthill–Kuo (PLK) method, the Korteweg–de Vries (KdV) equations and the analytical phase</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/56265170" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="30541469" href="https://independent.academia.edu/ChatterjeePrasanta">Prasanta Chatterjee</a><script data-card-contents-for-user="30541469" type="text/json">{"id":30541469,"first_name":"Prasanta","last_name":"Chatterjee","domain_name":"independent","page_name":"ChatterjeePrasanta","display_name":"Prasanta Chatterjee","profile_url":"https://independent.academia.edu/ChatterjeePrasanta?f_ri=34754","photo":"https://0.academia-photos.com/30541469/37922381/31914013/s65_prasanta.chatterjee.jpg"}</script></span></span><span class="u-displayInlineBlock InlineList-item-text"> and <span class="u-textDecorationUnderline u-clickable InlineList-item-text js-work-more-authors-56265170">+1</span><div class="hidden js-additional-users-56265170"><div><span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a href="https://independent.academia.edu/UGhosh2">U. 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Using the extended Poincaré–Lighthill–Kuo (PLK) method, the Korteweg–de Vries (KdV) equations and the analytical phase","downloadable_attachments":[],"ordered_authors":[{"id":30541469,"first_name":"Prasanta","last_name":"Chatterjee","domain_name":"independent","page_name":"ChatterjeePrasanta","display_name":"Prasanta Chatterjee","profile_url":"https://independent.academia.edu/ChatterjeePrasanta?f_ri=34754","photo":"https://0.academia-photos.com/30541469/37922381/31914013/s65_prasanta.chatterjee.jpg"},{"id":213997831,"first_name":"U.","last_name":"Ghosh","domain_name":"independent","page_name":"UGhosh2","display_name":"U. Ghosh","profile_url":"https://independent.academia.edu/UGhosh2?f_ri=34754","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":32735,"name":"Dusty Plasma","url":"https://www.academia.edu/Documents/in/Dusty_Plasma?f_ri=34754","nofollow":false},{"id":34754,"name":"Magnetic field","url":"https://www.academia.edu/Documents/in/Magnetic_field?f_ri=34754","nofollow":false},{"id":875521,"name":"Solitary Wave","url":"https://www.academia.edu/Documents/in/Solitary_Wave?f_ri=34754","nofollow":false},{"id":1437495,"name":"Phase Shift","url":"https://www.academia.edu/Documents/in/Phase_Shift?f_ri=34754","nofollow":false}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_55199286" data-work_id="55199286" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/55199286/Quantum_Cavitation">Quantum Cavitation</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">We consider the theoretical setting of a superfluid like 3He in a rotating container, which is set between the two layers of a type-II superconductor. We describe the superfluid vortices as a 2-dimensional Ising-like model on a triangular... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_55199286" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">We consider the theoretical setting of a superfluid like 3He in a rotating container, which is set between the two layers of a type-II superconductor. We describe the superfluid vortices as a 2-dimensional Ising-like model on a triangular lattice in presence of local magnetic fields. The interaction term of the superfluid vortices with the Abrikosov vortices of the superconductor appears then as a symmetry breaking term in the free energy. Such a term gives a higher probability of quantum tunnelling across the potential barrier for bubbles nucleation, thus favouring quantum cavitation.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/55199286" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="0f5baf298e34d7273ae6753582c5a635" rel="nofollow" data-download="{"attachment_id":71183662,"asset_id":55199286,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/71183662/download_file?st=MTczMjgwNTExNSw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="35353224" href="https://cnr-it.academia.edu/FCardone">F. 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We describe the superfluid vortices as a 2-dimensional Ising-like model on a triangular lattice in presence of local magnetic fields. The interaction term of the superfluid vortices with the Abrikosov vortices of the superconductor appears then as a symmetry breaking term in the free energy. Such a term gives a higher probability of quantum tunnelling across the potential barrier for bubbles nucleation, thus favouring quantum cavitation.","downloadable_attachments":[{"id":71183662,"asset_id":55199286,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":35353224,"first_name":"F.","last_name":"Cardone","domain_name":"cnr-it","page_name":"FCardone","display_name":"F. 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Above a field of approximately 30 T the magnetization exhibits clear quantum oscillations with a... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_34498821" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The de Haas-van Alphen effect was observed in the underdoped cuprate YBa2Cu3O6.5 via a torque technique in pulsed magnetic fields up to 59 T. Above a field of approximately 30 T the magnetization exhibits clear quantum oscillations with a single frequency of 540 T and a cyclotron mass of 1.76 times the free electron mass, in excellent agreement with previously observed Shubnikov-de Haas oscillations. The oscillations obey the standard Lifshitz-Kosevich formula of Fermi-liquid theory. 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Pernechele","profile_url":"https://independent.academia.edu/CPernechele?f_ri=34754","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":34754,"name":"Magnetic field","url":"https://www.academia.edu/Documents/in/Magnetic_field?f_ri=34754","nofollow":false},{"id":87204,"name":"Magnetization Reversal","url":"https://www.academia.edu/Documents/in/Magnetization_Reversal?f_ri=34754","nofollow":false},{"id":118582,"name":"Physical sciences","url":"https://www.academia.edu/Documents/in/Physical_sciences?f_ri=34754","nofollow":false},{"id":133975,"name":"Magnetic Properties","url":"https://www.academia.edu/Documents/in/Magnetic_Properties?f_ri=34754","nofollow":false},{"id":260118,"name":"CHEMICAL SCIENCES","url":"https://www.academia.edu/Documents/in/CHEMICAL_SCIENCES?f_ri=34754"},{"id":343510,"name":"Exchange coupling","url":"https://www.academia.edu/Documents/in/Exchange_coupling?f_ri=34754"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_5035205" data-work_id="5035205" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/5035205/Microwave_cavity_perturbation_technique_Part_I_Principles">Microwave cavity perturbation technique: Part I: Principles</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">This report reviews the analysis used to extract the complex conductivity of a compound from a microwave cavity perturbation measurement. We intend to present a generalized treatment valid for any spheroidally shaped sample of arbitrary... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_5035205" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">This report reviews the analysis used to extract the complex conductivity of a compound from a microwave cavity perturbation measurement. We intend to present a generalized treatment valid for any spheroidally shaped sample of arbitrary conductivity which is placed at either the electric or magnetic field antinode of the cavity. To begin with, we establish the relationship between the measured parameters and the conductivity for a spherical sample. Next, we extend these results to the case of spheroids; and for the first time, we cover all different configurations that one can possibly use to study an arbitrary conducting sample inside a cavity: in particular, all possible orientations of the sample with respect to the applied field are solved.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/5035205" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="1e92eda67cdeaf5be90db1efaff5df56" rel="nofollow" data-download="{"attachment_id":49476895,"asset_id":5035205,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/49476895/download_file?st=MTczMjgwNTExNSw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="6702422" href="https://alabama.academia.edu/SteveDonovan">Steve Donovan</a><script data-card-contents-for-user="6702422" type="text/json">{"id":6702422,"first_name":"Steve","last_name":"Donovan","domain_name":"alabama","page_name":"SteveDonovan","display_name":"Steve Donovan","profile_url":"https://alabama.academia.edu/SteveDonovan?f_ri=34754","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_5035205 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="5035205"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 5035205, container: ".js-paper-rank-work_5035205", }); 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We intend to present a generalized treatment valid for any spheroidally shaped sample of arbitrary conductivity which is placed at either the electric or magnetic field antinode of the cavity. To begin with, we establish the relationship between the measured parameters and the conductivity for a spherical sample. Next, we extend these results to the case of spheroids; and for the first time, we cover all different configurations that one can possibly use to study an arbitrary conducting sample inside a cavity: in particular, all possible orientations of the sample with respect to the applied field are solved.","downloadable_attachments":[{"id":49476895,"asset_id":5035205,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":6702422,"first_name":"Steve","last_name":"Donovan","domain_name":"alabama","page_name":"SteveDonovan","display_name":"Steve Donovan","profile_url":"https://alabama.academia.edu/SteveDonovan?f_ri=34754","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":34754,"name":"Magnetic field","url":"https://www.academia.edu/Documents/in/Magnetic_field?f_ri=34754","nofollow":false},{"id":125513,"name":"Superconductors","url":"https://www.academia.edu/Documents/in/Superconductors?f_ri=34754","nofollow":false},{"id":263152,"name":"Optical physics","url":"https://www.academia.edu/Documents/in/Optical_physics?f_ri=34754","nofollow":false},{"id":1110308,"name":"Thermal Expansion","url":"https://www.academia.edu/Documents/in/Thermal_Expansion?f_ri=34754","nofollow":false},{"id":1237788,"name":"Electrical And Electronic Engineering","url":"https://www.academia.edu/Documents/in/Electrical_And_Electronic_Engineering?f_ri=34754"},{"id":1248626,"name":"Response surface","url":"https://www.academia.edu/Documents/in/Response_surface?f_ri=34754"},{"id":1600931,"name":"Perturbation Theory","url":"https://www.academia.edu/Documents/in/Perturbation_Theory?f_ri=34754"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_74603578" data-work_id="74603578" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/74603578/Cross_product_in_N_Dimensions_the_doublewedge_product">Cross product in N Dimensions - the doublewedge product</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The cross product frequently occurs in Physics and Engineering, since it has large applications in many contexts, e.g. for calculating angular momenta, torques, rotations, volumes etc. Though this mathematical operator is widely used, it... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_74603578" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The cross product frequently occurs in Physics and Engineering, since it has large applications in many contexts, e.g. for calculating angular momenta, torques, rotations, volumes etc. Though this mathematical operator is widely used, it is commonly expressed in a 3-D notation which gives rise to many paradoxes and difficulties. In fact, instead of other vector operators like scalar product, the cross product is defined just in 3-D space, it does not respect reflection rules and invokes the concept of &quot;handedness&quot;. In this paper we are going to present an extension of cross product in an arbitrary number N of spatial Dimensions, different from the one adopted in the Exterior Algebra and explicitly designed for an easy calculus of moments.</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/74603578" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="ae030906b0cf376e11664a3982b04841" rel="nofollow" data-download="{"attachment_id":82697798,"asset_id":74603578,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/82697798/download_file?st=MTczMjgwNTExNSw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="9214746" href="https://polimi.academia.edu/CarloAndreaGonano">Carlo Andrea Gonano</a><script data-card-contents-for-user="9214746" type="text/json">{"id":9214746,"first_name":"Carlo Andrea","last_name":"Gonano","domain_name":"polimi","page_name":"CarloAndreaGonano","display_name":"Carlo Andrea Gonano","profile_url":"https://polimi.academia.edu/CarloAndreaGonano?f_ri=34754","photo":"/images/s65_no_pic.png"}</script></span></span></li><li class="js-paper-rank-work_74603578 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="74603578"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 74603578, container: ".js-paper-rank-work_74603578", }); 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$(".js-view-count[data-work-id=74603578]").text(description); $(".js-view-count-work_74603578").attr('title', description).tooltip(); }); });</script></span><script>$(function() { $(".js-view-count-work_74603578").removeClass('hidden') })</script></div></li><li class="InlineList-item u-positionRelative" style="max-width: 250px"><div class="u-positionAbsolute" data-has-card-for-ri-list="74603578"><i class="fa fa-tag InlineList-item-icon u-positionRelative"></i> <a class="InlineList-item-text u-positionRelative">10</a> </div><span class="InlineList-item-text u-textTruncate u-pl10x"><a class="InlineList-item-text" data-has-card-for-ri="34754" href="https://www.academia.edu/Documents/in/Magnetic_field">Magnetic field</a>, <script data-card-contents-for-ri="34754" type="text/json">{"id":34754,"name":"Magnetic field","url":"https://www.academia.edu/Documents/in/Magnetic_field?f_ri=34754","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="50760" href="https://www.academia.edu/Documents/in/L-moment">L-moment</a>, <script data-card-contents-for-ri="50760" type="text/json">{"id":50760,"name":"L-moment","url":"https://www.academia.edu/Documents/in/L-moment?f_ri=34754","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="204465" href="https://www.academia.edu/Documents/in/Angular_velocity">Angular velocity</a>, <script data-card-contents-for-ri="204465" type="text/json">{"id":204465,"name":"Angular velocity","url":"https://www.academia.edu/Documents/in/Angular_velocity?f_ri=34754","nofollow":false}</script><a class="InlineList-item-text" data-has-card-for-ri="239260" href="https://www.academia.edu/Documents/in/N-Dimensional_Modeling">N-Dimensional Modeling</a><script data-card-contents-for-ri="239260" type="text/json">{"id":239260,"name":"N-Dimensional Modeling","url":"https://www.academia.edu/Documents/in/N-Dimensional_Modeling?f_ri=34754","nofollow":false}</script></span></li><script>(function(){ if (true) { new Aedu.ResearchInterestListCard({ el: $('*[data-has-card-for-ri-list=74603578]'), work: {"id":74603578,"title":"Cross product in N Dimensions - the doublewedge product","created_at":"2022-03-26T02:37:07.254-07:00","url":"https://www.academia.edu/74603578/Cross_product_in_N_Dimensions_the_doublewedge_product?f_ri=34754","dom_id":"work_74603578","summary":"The cross product frequently occurs in Physics and Engineering, since it has large applications in many contexts, e.g. for calculating angular momenta, torques, rotations, volumes etc. Though this mathematical operator is widely used, it is commonly expressed in a 3-D notation which gives rise to many paradoxes and difficulties. In fact, instead of other vector operators like scalar product, the cross product is defined just in 3-D space, it does not respect reflection rules and invokes the concept of \u0026quot;handedness\u0026quot;. In this paper we are going to present an extension of cross product in an arbitrary number N of spatial Dimensions, different from the one adopted in the Exterior Algebra and explicitly designed for an easy calculus of moments.","downloadable_attachments":[{"id":82697798,"asset_id":74603578,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":9214746,"first_name":"Carlo Andrea","last_name":"Gonano","domain_name":"polimi","page_name":"CarloAndreaGonano","display_name":"Carlo Andrea Gonano","profile_url":"https://polimi.academia.edu/CarloAndreaGonano?f_ri=34754","photo":"/images/s65_no_pic.png"}],"research_interests":[{"id":34754,"name":"Magnetic field","url":"https://www.academia.edu/Documents/in/Magnetic_field?f_ri=34754","nofollow":false},{"id":50760,"name":"L-moment","url":"https://www.academia.edu/Documents/in/L-moment?f_ri=34754","nofollow":false},{"id":204465,"name":"Angular velocity","url":"https://www.academia.edu/Documents/in/Angular_velocity?f_ri=34754","nofollow":false},{"id":239260,"name":"N-Dimensional Modeling","url":"https://www.academia.edu/Documents/in/N-Dimensional_Modeling?f_ri=34754","nofollow":false},{"id":382299,"name":"Vector Calculus","url":"https://www.academia.edu/Documents/in/Vector_Calculus?f_ri=34754"},{"id":552629,"name":"Moment of Inertia","url":"https://www.academia.edu/Documents/in/Moment_of_Inertia?f_ri=34754"},{"id":959498,"name":"Multi dimensionality","url":"https://www.academia.edu/Documents/in/Multi_dimensionality?f_ri=34754"},{"id":1030234,"name":"Torques","url":"https://www.academia.edu/Documents/in/Torques?f_ri=34754"},{"id":1291286,"name":"Cross Product","url":"https://www.academia.edu/Documents/in/Cross_Product?f_ri=34754"},{"id":1510173,"name":"Pseudovector","url":"https://www.academia.edu/Documents/in/Pseudovector?f_ri=34754"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_72438893" data-work_id="72438893" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 u-lineHeight1_3"><a class="u-tcGrayDarkest js-work-link" href="https://www.academia.edu/72438893/Cusp_region_radiation_belts_in_the_dayside_magnetosphere">Cusp region radiation belts in the dayside magnetosphere</a></div></div><div class="u-pb4x u-mt3x"><div class="summary u-fs14 u-fw300 u-lineHeight1_5 u-tcGrayDarkest"><div class="summarized">The possibility of quasi-stable trapping of charged particles of hundreds keVMeV energy on the front side Earth magnetosphere is explored in this article by numerical modeling of the single particle orbits in the geomagnetic field... <a class="more_link u-tcGrayDark u-linkUnstyled" data-container=".work_72438893" data-show=".complete" data-hide=".summarized" data-more-link-behavior="true" href="#">more</a></div><div class="complete hidden">The possibility of quasi-stable trapping of charged particles of hundreds keVMeV energy on the front side Earth magnetosphere is explored in this article by numerical modeling of the single particle orbits in the geomagnetic field utilizing empirical Tsyganenko model. On the front ...</div></div></div><ul class="InlineList u-ph0x u-fs13"><li class="InlineList-item logged_in_only"><div class="share_on_academia_work_button"><a class="academia_share Button Button--inverseBlue Button--sm js-bookmark-button" data-academia-share="Work/72438893" data-share-source="work_strip" data-spinner="small_white_hide_contents"><i class="fa fa-plus"></i><span class="work-strip-link-text u-ml1x" data-content="button_text">Bookmark</span></a></div></li><li class="InlineList-item"><div class="download"><a id="775f42cef4ff681c278496c16a3e459c" rel="nofollow" data-download="{"attachment_id":81362717,"asset_id":72438893,"asset_type":"Work","always_allow_download":false,"track":null,"button_location":"work_strip","source":null,"hide_modal":null}" class="Button Button--sm Button--inverseGreen js-download-button prompt_button doc_download" href="https://www.academia.edu/attachments/81362717/download_file?st=MTczMjgwNTExNSw4LjIyMi4yMDguMTQ2&s=work_strip"><i class="fa fa-arrow-circle-o-down fa-lg"></i><span class="u-textUppercase u-ml1x" data-content="button_text">Download</span></a></div></li><li class="InlineList-item"><ul class="InlineList InlineList--bordered u-ph0x"><li class="InlineList-item InlineList-item--bordered"><span class="InlineList-item-text">by <span itemscope="itemscope" itemprop="author" itemtype="https://schema.org/Person"><a class="u-tcGrayDark u-fw700" data-has-card-for-user="131657843" href="https://independent.academia.edu/%D0%9D%D0%B0%D1%88%D0%B0%D0%BA%D1%83%D0%BB%D1%8C%D1%82%D1%83%D1%80%D0%B0%D1%88%D0%B0%D0%9D%D1%8F%D1%88%D0%B0">Нашакультураша Няша</a><script data-card-contents-for-user="131657843" type="text/json">{"id":131657843,"first_name":"Нашакультураша","last_name":"Няша","domain_name":"independent","page_name":"НашакультурашаНяша","display_name":"Нашакультураша Няша","profile_url":"https://independent.academia.edu/%D0%9D%D0%B0%D1%88%D0%B0%D0%BA%D1%83%D0%BB%D1%8C%D1%82%D1%83%D1%80%D0%B0%D1%88%D0%B0%D0%9D%D1%8F%D1%88%D0%B0?f_ri=34754","photo":"https://0.academia-photos.com/131657843/72018631/60475038/s65__._.jpeg"}</script></span></span></li><li class="js-paper-rank-work_72438893 InlineList-item InlineList-item--bordered hidden"><span class="js-paper-rank-view hidden u-tcGrayDark" data-paper-rank-work-id="72438893"><i class="u-m1x fa fa-bar-chart"></i><strong class="js-paper-rank"></strong></span><script>$(function() { new Works.PaperRankView({ workId: 72438893, container: ".js-paper-rank-work_72438893", }); 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On the front ...","downloadable_attachments":[{"id":81362717,"asset_id":72438893,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":131657843,"first_name":"Нашакультураша","last_name":"Няша","domain_name":"independent","page_name":"НашакультурашаНяша","display_name":"Нашакультураша Няша","profile_url":"https://independent.academia.edu/%D0%9D%D0%B0%D1%88%D0%B0%D0%BA%D1%83%D0%BB%D1%8C%D1%82%D1%83%D1%80%D0%B0%D1%88%D0%B0%D0%9D%D1%8F%D1%88%D0%B0?f_ri=34754","photo":"https://0.academia-photos.com/131657843/72018631/60475038/s65__._.jpeg"}],"research_interests":[{"id":2442,"name":"Atmospheric Science","url":"https://www.academia.edu/Documents/in/Atmospheric_Science?f_ri=34754","nofollow":false},{"id":34754,"name":"Magnetic field","url":"https://www.academia.edu/Documents/in/Magnetic_field?f_ri=34754","nofollow":false},{"id":57433,"name":"Seasonality","url":"https://www.academia.edu/Documents/in/Seasonality?f_ri=34754","nofollow":false},{"id":137209,"name":"Solar Wind","url":"https://www.academia.edu/Documents/in/Solar_Wind?f_ri=34754","nofollow":false},{"id":219773,"name":"Geomagnetic field","url":"https://www.academia.edu/Documents/in/Geomagnetic_field?f_ri=34754"},{"id":329513,"name":"Southern Hemisphere","url":"https://www.academia.edu/Documents/in/Southern_Hemisphere?f_ri=34754"},{"id":497452,"name":"Numerical Model","url":"https://www.academia.edu/Documents/in/Numerical_Model?f_ri=34754"},{"id":1672056,"name":"Energetic particles","url":"https://www.academia.edu/Documents/in/Energetic_particles?f_ri=34754"},{"id":2523603,"name":"Charged Particles","url":"https://www.academia.edu/Documents/in/Charged_Particles?f_ri=34754"}]}, }) } })();</script></ul></li></ul></div></div><div class="u-borderBottom1 u-borderColorGrayLighter"><div class="clearfix u-pv7x u-mb0x js-work-card work_66493654" data-work_id="66493654" itemscope="itemscope" itemtype="https://schema.org/ScholarlyArticle"><div class="header"><div class="title u-fontSerif u-fs22 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implantation","created_at":"2021-12-29T23:18:13.612-08:00","url":"https://www.academia.edu/66493654/Magnetic_field_effect_on_the_sheath_thickness_in_plasma_immersion_ion_implantation?f_ri=34754","dom_id":"work_66493654","summary":null,"downloadable_attachments":[{"id":77664081,"asset_id":66493654,"asset_type":"Work","always_allow_download":false}],"ordered_authors":[{"id":33147769,"first_name":"Andre","last_name":"Anders","domain_name":"uni-leipzig1","page_name":"AndreAnders","display_name":"Andre Anders","profile_url":"https://uni-leipzig1.academia.edu/AndreAnders?f_ri=34754","photo":"https://0.academia-photos.com/33147769/10552206/14843660/s65_andre.anders.jpg"}],"research_interests":[{"id":48,"name":"Engineering","url":"https://www.academia.edu/Documents/in/Engineering?f_ri=34754","nofollow":false},{"id":511,"name":"Materials Science","url":"https://www.academia.edu/Documents/in/Materials_Science?f_ri=34754","nofollow":false},{"id":517,"name":"Plasma 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