Paper Title:
Attractive Nonlinear Schrödinger Equation and Bose-Einstein Condensate in Phase Space
  Abstract

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.

  Info
Periodical
Chapter
Chapter 22: Metrology and Measurement
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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