V. P. Maslov, A. V. Churkin, “On a Solution of the Gross–Pitaevskii Equation for a Condensate Wave Function”, Mat. Zametki, 2005, Volume 78, Issue 4,Pages <nobr>604

This article is cited in 1 paper

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

V. P. Maslov^a, A. V. Churkin^b

^a M. V. Lomonosov Moscow State University, Faculty of Physics
^b M. V. Lomonosov Moscow State University

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.

UDC: 519.21

Received: 10.03.2005
Revised: 28.04.2005

DOI: 10.4213/mzm2618