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While any situation described by a Schrödinger field can also be described by a many-body Schrödinger equation for identical particles, the field theory is more suitable for situations where the particle number changes. 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class="row"> <div class="col"> <div class="text-muted"> An Entity of Type: <a href="javascript:void()">Thing</a>, from Named Graph: <a href="http://dbpedia.org">http://dbpedia.org</a>, within Data Space: <a href="http://dbpedia.org">dbpedia.org</a> </div> </div> </div> <div class="row pt-2"> <div class="col-xs-9 col-sm-10"> In quantum mechanics and quantum field theory, a Schrödinger field, named after Erwin Schrödinger, is a quantum field which obeys the Schrödinger equation. While any situation described by a Schrödinger field can also be described by a many-body Schrödinger equation for identical particles, the field theory is more suitable for situations where the particle number changes. A Schrödinger field is the nonrelativistic limit of a Klein–Gordon field. </div> </div> </div> </section>   <section> <div class="container-xl"> <div class="row"> <div class="table-responsive"> <table class="table table-hover table-sm table-light"> <thead> <tr> <th class="col-xs-3 ">Property</th> <th class="col-xs-9 px-3">Value</th> </tr> </thead> <tbody> <tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/abstract">dbo:abstract</a> </td><td class="col-10 text-break"><ul> <li>In quantum mechanics and quantum field theory, a Schrödinger field, named after Erwin Schrödinger, is a quantum field which obeys the Schrödinger equation. While any situation described by a Schrödinger field can also be described by a many-body Schrödinger equation for identical particles, the field theory is more suitable for situations where the particle number changes. A Schrödinger field is also the classical limit of a quantum Schrödinger field, a classical wave which satisfies the Schrödinger equation. Unlike the quantum mechanical wavefunction, if there are interactions between the particles the equation will be nonlinear. These nonlinear equations describe the classical wave limit of a system of interacting identical particles. The path integral of a Schrödinger field is also known as a coherent state path integral, because the field itself is an annihilation operator whose eigenstates can be thought of as coherent states of the harmonic oscillations of the field modes. Schrödinger fields are useful for describing Bose–Einstein condensation, the Bogolyubov–de Gennes equation of superconductivity, superfluidity, and many-body theory in general. They are also a useful alternative formalism for nonrelativistic quantum mechanics. A Schrödinger field is the nonrelativistic limit of a Klein–Gordon field. (en)</li> <li style="display:none;">シュレーディンガー場（シュレーディンガーば）とは、量子力学と場の量子論で用いられる、シュレーディンガー方程式に従う量子場のことである。名前はエルヴィン・シュレーディンガーにちなんで名付けられた。同種多粒子系のシュレーディンガー方程式によって記述することもできるが、粒子数が変化する場合には場の理論による記述の方が優れている。シュレーディンガー場は、量子シュレディンガー場の古典極限でもある。この場での古典波動はシュレーディンガー方程式を満たしている。量子力学的波動関数とは異なり、粒子間に相互作用がある場合、方程式は非線形シュレディンガー方程式になる。この方程式は、相互作用のある同種粒子系の古典波動極限を表す。シュレディンガー場の経路積分はコヒーレント状態経路積分として知られている。これは、場自体が消滅演算子、すなわち、その固有状態が調和振動のコヒーレント状態と考えることができるからである。シュレーディンガー場はボーズ・アインシュタイン凝縮、超電導に対するBogolyubov-de Gennes方程式、超流動、および一般にを扱う上で有用である。また、非相対論的量子力学を代替する形式としても有用である。シュレーディンガー場は、クライン・ゴルドン場の非相対論的極限である。 (ja)</li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/wikiPageID">dbo:wikiPageID</a> </td><td class="col-10 text-break"><ul> <li>13625345 (xsd:integer)</li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/wikiPageLength">dbo:wikiPageLength</a> </td><td class="col-10 text-break"><ul> <li>20634 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href="http://www.w3.org/2000/01/rdf-schema#comment">rdfs:comment</a> </td><td class="col-10 text-break"><ul> <li style="display:none;">シュレーディンガー場（シュレーディンガーば）とは、量子力学と場の量子論で用いられる、シュレーディンガー方程式に従う量子場のことである。名前はエルヴィン・シュレーディンガーにちなんで名付けられた。同種多粒子系のシュレーディンガー方程式によって記述することもできるが、粒子数が変化する場合には場の理論による記述の方が優れている。シュレーディンガー場は、量子シュレディンガー場の古典極限でもある。この場での古典波動はシュレーディンガー方程式を満たしている。量子力学的波動関数とは異なり、粒子間に相互作用がある場合、方程式は非線形シュレディンガー方程式になる。この方程式は、相互作用のある同種粒子系の古典波動極限を表す。シュレディンガー場の経路積分はコヒーレント状態経路積分として知られている。これは、場自体が消滅演算子、すなわち、その固有状態が調和振動のコヒーレント状態と考えることができるからである。シュレーディンガー場はボーズ・アインシュタイン凝縮、超電導に対するBogolyubov-de Gennes方程式、超流動、および一般にを扱う上で有用である。また、非相対論的量子力学を代替する形式としても有用である。シュレーディンガー場は、クライン・ゴルドン場の非相対論的極限である。 (ja)</li> <li>In quantum mechanics and quantum field theory, a Schrödinger field, named after Erwin Schrödinger, is a quantum field which obeys the Schrödinger equation. While any situation described by a Schrödinger field can also be described by a many-body Schrödinger equation for identical particles, the field theory is more suitable for situations where the particle number changes. A Schrödinger field is the nonrelativistic limit of a Klein–Gordon field. 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