Semiclassical Spectral Series Localized on a Curve for the Gross–Pitaevskii Equation with a Nonlocal Interaction

Semiclassical Spectral Series Localized on a Curve for the Gross–Pitaevskii Equation with a Nonlocal Interaction

Bibliographic Details
Parent link:	Symmetry Vol. 13, iss. 7.— 2021.— [1289, 22 p.]
Main Author:	Kulagin A. E. Anton Evgenievich
Other Authors:	Shapovalov A. V. Aleksandr Vasilyevich, Trifonov A. Yu. Andrey Yurievich
Summary:	Title screen We propose the approach to constructing semiclassical spectral series for the generalized multidimensional stationary Gross–Pitaevskii equation with a nonlocal interaction term. The eigenvalues and eigenfunctions semiclassically concentrated on a curve are obtained. The curve is described by the dynamic system of moments of solutions to the nonlocal Gross–Pitaevskii equation. We solve the eigenvalue problem for the nonlocal stationary Gross–Pitaevskii equation basing on the semiclassical asymptotics found for the Cauchy problem of the parametric family of linear equations associated with the time-dependent Gross–Pitaevskii equation in the space of extended dimension. The approach proposed uses symmetries of equations in the space of extended dimension.
Language:	English
Published:	2021
Subjects:	электронный ресурс труды учёных ТПУ stationary Gross–Pitaevskii equation nonlocal interaction nonlinear spectral problem Bose–Einstein condensate semiclassical approximation symmetry operators
Online Access:	http://earchive.tpu.ru/handle/11683/71102 https://doi.org/10.3390/sym13071289
Format:	Electronic Book Chapter
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=666097

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