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

Abstract:

Within the framework of the quantum phase-space representation established by Torres-Vega and Frederick, the rigorous solutions of repulsive nonlinear Schrödinger equation are solved, which models the dilute-gas Bose-Einstein condensate. The eigenfunctions in position and momentum spaces can be obtained through the “Fourier-like” projection transformation from the phase-space eigenfunctions. It shows that the wave-mechanics method in the phase-space representation could be extended to the nonlinear Schrödinger equations. The research provides the foundation for the approximate calculation in future.

• Periodical: Advanced Materials Research (Volumes 403-408)
• Pages: 132-137
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.403-408.132
• Online since: November 2011
• Authors: Jun Lu, Yun Zhi Wang, Xiao Yun Mu
• Keywords: Bose-Einstein Condensate, Nonlinear Equation, Phase Space, Repulsive Interaction

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