Abstract
We study the simultaneous semi-classical and adiabatic asymptotics for a class of (weakly) nonlinear Schrödinger equations with a fast periodic potential and a slowly varying confinement potential. A rigorous two-scale WKB-analysis, locally in time, is performed. The main nonlinear phenomenon is a modification of the Berry phase.
Original language | English (US) |
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Pages (from-to) | 343-375 |
Number of pages | 33 |
Journal | Journal of Statistical Physics |
Volume | 117 |
Issue number | 1-2 |
DOIs | |
State | Published - Oct 1 2004 |
Keywords
- Bloch eigenvalue problem
- Bose-Einstein condensate
- Nonlinear Schrödinger equation
- WKB-asymptotics
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics