The Gross–Pitaevskii Equation with a Nonlocal Interaction in a Semiclassical Approximation on a Curve; Symmetry; Vol. 12, iss. 2
| Parent link: | Symmetry Vol. 12, iss. 2.— 2020.— [201, 25 p.] |
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| Yazar: | |
| Müşterek Yazar: | |
| Diğer Yazarlar: | , |
| Özet: | Title screen We propose an approach to constructing semiclassical solutions for the generalized multidimensional Gross–Pitaevskii equation with a nonlocal interaction term. The key property of the solutions is that they are concentrated on a one-dimensional manifold (curve) that evolves over time. The approach reduces the Cauchy problem for the nonlocal Gross–Pitaevskii equation to a similar problem for the associated linear equation. The geometric properties of the resulting solutions are related to Maslov’s complex germ, and the symmetry operators of the associated linear equation lead to the approximation of the symmetry operators for the nonlocal Gross–Pitaevskii equation. |
| Dil: | İngilizce |
| Baskı/Yayın Bilgisi: |
2020
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| Konular: | |
| Online Erişim: | http://earchive.tpu.ru/handle/11683/64810 https://doi.org/10.3390/sym12020201 |
| Materyal Türü: | Elektronik Kitap Bölümü |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=662056 |
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| 200 | 1 | |a The Gross–Pitaevskii Equation with a Nonlocal Interaction in a Semiclassical Approximation on a Curve |f A. V. Shapovalov, A. E. Kulagin, A. Yu. Trifonov | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: 56 tit.] | ||
| 330 | |a We propose an approach to constructing semiclassical solutions for the generalized multidimensional Gross–Pitaevskii equation with a nonlocal interaction term. The key property of the solutions is that they are concentrated on a one-dimensional manifold (curve) that evolves over time. The approach reduces the Cauchy problem for the nonlocal Gross–Pitaevskii equation to a similar problem for the associated linear equation. The geometric properties of the resulting solutions are related to Maslov’s complex germ, and the symmetry operators of the associated linear equation lead to the approximation of the symmetry operators for the nonlocal Gross–Pitaevskii equation. | ||
| 461 | |t Symmetry | ||
| 463 | |t Vol. 12, iss. 2 |v [201, 25 p.] |d 2020 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a Gross–Pitaevskii equation | |
| 610 | 1 | |a nonlocal interaction | |
| 610 | 1 | |a Bose–Einstein condensate | |
| 610 | 1 | |a semiclassical approximation | |
| 610 | 1 | |a complex germ | |
| 610 | 1 | |a symmetry operators | |
| 610 | 1 | |a уравнение Гросса-Питаевского | |
| 610 | 1 | |a нелокальные взаимодействия | |
| 610 | 1 | |a бозе-эйнштейновская конденсация | |
| 610 | 1 | |a квазиклассическое приближение | |
| 610 | 1 | |a операторы симметрии | |
| 700 | 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 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 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 |
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| 856 | 4 | |u http://earchive.tpu.ru/handle/11683/64810 | |
| 856 | 4 | |u https://doi.org/10.3390/sym12020201 | |
| 942 | |c CF | ||