Yu. V. Likhanova, S. B. Medvedev, M. P. Fedoruk, P. L. Chapovskii, “Analytical trial functions for modelling a two-dimensional Bose condensate”, Kvantovaya Elektronika, 47:5 (2017), 484–490 [Quantum Electron., 47:5 (2017), 484

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Kvantovaya Elektronika, 2017, Volume 47, Number 5, Pages 484–490 (Mi qe16605)

This article is cited in 5 scientific papers (total in 5 papers)

Physics of ultra cold atoms and their applications

Analytical trial functions for modelling a two-dimensional Bose condensate

Yu. V. Likhanova^ab, S. B. Medvedev^a, M. P. Fedoruk^ab, P. L. Chapovskii^cb

^a Institute of Computational Technologies, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State University
^c Institute of Automation and Electrometry, Siberian Branch of Russian Academy of Sciences, Novosibirsk

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Abstract: Approximate analytical solutions to the time-independent two-dimensional Gross–Pitaevsky equation are obtained by a variational method. The solutions found are compared with the results of direct numerical calculations. The accuracy of analytical solutions is determined under various conditions of the problem, primarily the degree of nonlinear interaction of atoms in a Bose condensate.

Keywords: Bose–Einstein condensates, two-dimensional Gross-Pitaevskii equation, variational method, trial functions, approximate analytical solutions.

Funding agency	Grant number
Russian Foundation for Basic Research	15-02-05754
Ministry of Education and Science of the Russian Federation	НШ-7214.2016.9 НШ-9161.2016.9

Received: 09.03.2017

English version:
Quantum Electronics, 2017, Volume 47, Issue 5, Pages 484–490
DOI: https://doi.org/10.1070/QEL16348

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Document Type: Article

Language: Russian

*Supplementary materials:*
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	pic_2.pdf	(214.2 Kb)
	pic_3.pdf	(449.0 Kb)

Citation: Yu. V. Likhanova, S. B. Medvedev, M. P. Fedoruk, P. L. Chapovskii, “Analytical trial functions for modelling a two-dimensional Bose condensate”, Kvantovaya Elektronika, 47:5 (2017), 484–490 [Quantum Electron., 47:5 (2017), 484–490]

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https://www.mathnet.ru/eng/qe16605

https://www.mathnet.ru/eng/qe/v47/i5/p484

Erratum

Yu. V. Likhanova, S. B. Medvedev, M. P. Fedoruk, P. L. Chapovskii. Analytical trial functions for modelling a two-dimensional Bose condensate (“Kvantovaya Elektronika”, 47:5 (2017), 484–490)
Yu. V. Likhanova, S. B. Medvedev, M. P. Fedoruk, P. L. Chapovskii
Kvantovaya Elektronika, 2017, 47:6, 566

This publication is cited in the following 5 articles:

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	40
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