Расширение кондесата в кольцевой ловушке в квазиклассическом приближении для уравнения Гросса-Питаевского

Bibliographic Details
Parent link:Перспективы развития фундаментальных наук=Prospects of Fundamental Sciences Development: сборник научных трудов XVII Международной конференции студентов, аспирантов и молодых ученых, г. Томск, 21-24 апреля 2020 г./ Национальный исследовательский Томский политехнический университет (ТПУ) ; под ред. И. А. Курзиной, Г. А. Вороновой.— , 2020
Т. 3 : Математика.— 2020.— [С. 45-47]
Main Author: Кулагин А. Е. Антон Евгеньевич
Corporate Author: Национальный исследовательский Томский политехнический университет Школа базовой инженерной подготовки Отделение математики и информатики
Other Authors: Трифонов А. Ю. Андрей Юрьевич (727)
Summary:Заглавие с экрана
The nonlocal Gross-Pitaevskii equation describing the expansion of the Bose-Einstein in the ringshaped trap potential is studied in a semiclassical approximation. The first-order Hamilton-Ehrenfest system for the semiclassically concentrated solutions of the given Gross-Pitaevskii equation is considered. The correspondence between the solutions of the Hamilton-Ehrenfest system and the numerical solutions of the initial Gross-Pitaevskii equation is shown. The remarks about the applicability of the semiclassical approximation to the considered problem are given.
Language:Russian
Published: 2020
Subjects:
Online Access:http://earchive.tpu.ru/handle/11683/63005
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=631572
Description
Summary:Заглавие с экрана
The nonlocal Gross-Pitaevskii equation describing the expansion of the Bose-Einstein in the ringshaped trap potential is studied in a semiclassical approximation. The first-order Hamilton-Ehrenfest system for the semiclassically concentrated solutions of the given Gross-Pitaevskii equation is considered. The correspondence between the solutions of the Hamilton-Ehrenfest system and the numerical solutions of the initial Gross-Pitaevskii equation is shown. The remarks about the applicability of the semiclassical approximation to the considered problem are given.