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Matematicheskie Zametki, 2005, Volume 78, Issue 4, Pages 604–607
DOI: https://doi.org/10.4213/mzm2618 (Mi mzm2618) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On a Solution of the Gross–Pitaevskii Equation for a Condensate Wave Function

V. P. Maslova, A. V. Churkinb

a M. V. Lomonosov Moscow State University, Faculty of Physics
b M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm2618
Abstract: In this paper, we consider an approximate solution of the Gross–Pitaevskii equation in the one-dimensional case in the form of the eigenfunction of the ground state of the harmonic oscillator. A numerical experiment shows that the approximate solution obtained satisfies, with high accuracy, the Gross–Pitaevskii equation for the interatomic-interaction potential in the form of the superposition of Gaussian functions.
Received: 10.03.2005
Revised: 28.04.2005
English version:
Mathematical Notes, 2005, Volume 78, Issue 4, Pages 559–562
DOI: https://doi.org/10.1007/s11006-005-0154-4
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: V. P. Maslov, A. V. Churkin, “On a Solution of the Gross–Pitaevskii Equation for a Condensate Wave Function”, Mat. Zametki, 78:4 (2005), 604–607; Math. Notes, 78:4 (2005), 559–562
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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