Attractive Nonlinear Schrödinger Equation and Bose-Einstein Condensate in Phase Space

Abstract:

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In this paper, we solve the rigorous solutions of attractive nonlinear Schrödinger equation which models the Bose-Einstein condensate, within the framework of the quantum phase space representation established by Torres-Vega and Frederick. By means of the “Fourier-like” projection transformation, we obtain the eigenfunctions in position and momentum spaces from the phase space eigenfunctions. As an example, we discuss the eigenfunction with a hypersecant part.

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Periodical:

Edited by:

Wu Fan

Pages:

4492-4497

DOI:

10.4028/www.scientific.net/AMM.110-116.4492

Citation:

J. Lu "Attractive Nonlinear Schrödinger Equation and Bose-Einstein Condensate in Phase Space", Applied Mechanics and Materials, Vols. 110-116, pp. 4492-4497, 2012

Online since:

October 2011

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$35.00

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