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Derivation of the Time Dependent Gross–Pitaevskii Equation in Two Dimensions

We present microscopic derivations of the defocusing two-dimensional cubic nonlinear Schrödinger equation and the Gross–Pitaevskii equation starting from an interacting N-particle system of bosons. We consider the interaction potential to be given either by [Formula: see text] , for any [Formula: se...

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Detalles Bibliográficos
Autores principales: Jeblick, Maximilian, Leopold, Nikolai, Pickl, Peter
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7336254/
https://www.ncbi.nlm.nih.gov/pubmed/32675823
http://dx.doi.org/10.1007/s00220-019-03599-x