Semiclassical Spectral Series Localized on a Curve for the Gross–Pitaevskii Equation with a Nonlocal Interaction; Symmetry; Vol. 13, iss. 7
| Parent link: | Symmetry Vol. 13, iss. 7.— 2021.— [1289, 22 p.] |
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| Hovedforfatter: | |
| Institution som forfatter: | |
| Andre forfattere: | , |
| 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. |
| Sprog: | engelsk |
| Udgivet: |
2021
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| Fag: | |
| Online adgang: | http://earchive.tpu.ru/handle/11683/71102 https://doi.org/10.3390/sym13071289 |
| Format: | MixedMaterials Electronisk Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=666097 |
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| 200 | 1 | |a Semiclassical Spectral Series Localized on a Curve for the Gross–Pitaevskii Equation with a Nonlocal Interaction |f A. E. Kulagin, A. V. Shapovalov, A. Yu. Trifonov | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: 50 tit.] | ||
| 330 | |a 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. | ||
| 461 | |t Symmetry | ||
| 463 | |t Vol. 13, iss. 7 |v [1289, 22 p.] |d 2021 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a stationary Gross–Pitaevskii equation | |
| 610 | 1 | |a nonlocal interaction | |
| 610 | 1 | |a nonlinear spectral problem | |
| 610 | 1 | |a Bose–Einstein condensate | |
| 610 | 1 | |a semiclassical approximation | |
| 610 | 1 | |a symmetry operators | |
| 700 | 1 | |a Kulagin |b A. E. |c mathematician |c Associate Professor of Tomsk Polytechnic University, Candidate of Physical and Mathematical Sciences |f 1992- |g Anton Evgenievich |3 (RuTPU)RU\TPU\pers\35727 |9 18885 | |
| 701 | 1 | |a Shapovalov |b A. V. |c mathematician |c Professor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences |f 1949- |g Aleksandr Vasilyevich |3 (RuTPU)RU\TPU\pers\31734 | |
| 701 | 1 | |a Trifonov |b A. Yu. |c physicist, mathematician |c Professor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences |f 1963- |g Andrey Yurievich |3 (RuTPU)RU\TPU\pers\30754 | |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет |b Школа базовой инженерной подготовки |b Отделение математики и информатики |3 (RuTPU)RU\TPU\col\23555 |
| 801 | 2 | |a RU |b 63413507 |c 20220607 |g RCR | |
| 856 | 4 | |u http://earchive.tpu.ru/handle/11683/71102 | |
| 856 | 4 | |u https://doi.org/10.3390/sym13071289 | |
| 942 | |c CF | ||