A Unified Construction of Variational Methods for the Nonlinear Schroedinger Equation

Details A Unified Construction of Variational Methods for the Nonlinear Schroedinger Equation A Unified Construction of Variational Methods for the Nonlinear Schroedinger Equation

1997-09-24

arxiv.org/abs/cond-mat/9709268v2

Physics

Condensed Matter

18 pages, Latex

Scientific paper

Based on an approach introduced byGerjuoy, Rau, and Spruch, we constract variational principles in a systematic way for the nonlinear Schroedinger equation and obtain new variational principles for the case of Ginzburg-Pitaevskii-Gross equation (PGP) which is belived to describe accurately the Bose-Einstein condensation at zero temperature. As an application of these variational methods, a variational iteration method is proposed for calculating eigenvalue (chemical potential) and wave function for the GPG equation

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