Semiclassical Spectral Series Localized on a Curve for the Gross–Pitaevskii Equation with a Nonlocal Interaction; Symmetry; Vol. 13, iss. 7

Semiclassical Spectral Series Localized on a Curve for the Gross–Pitaevskii Equation with a Nonlocal Interaction; Symmetry; Vol. 13, iss. 7

Detaylı Bibliyografya
Parent link:	Symmetry Vol. 13, iss. 7.— 2021.— [1289, 22 p.]
Yazar:	Kulagin A. E. Anton Evgenievich
Müşterek Yazar:	Национальный исследовательский Томский политехнический университет Школа базовой инженерной подготовки Отделение математики и информатики
Diğer Yazarlar:	Shapovalov A. V. Aleksandr Vasilyevich, Trifonov A. Yu. Andrey Yurievich
Özet:	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.
Dil:	İngilizce
Baskı/Yayın Bilgisi:	2021
Konular:	электронный ресурс труды учёных ТПУ stationary Gross–Pitaevskii equation nonlocal interaction nonlinear spectral problem Bose–Einstein condensate semiclassical approximation symmetry operators
Online Erişim:	http://earchive.tpu.ru/handle/11683/71102 https://doi.org/10.3390/sym13071289
Materyal Türü:	Elektronik Kitap Bölümü
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=666097

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