Semiclassical asymptotics for weakly nonlinear Bloch waves

Preprint

19 April 2004

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math-ph/0401053

Abstract

We study the simultaneous semi-classical and adiabatic asymptotics for a class of (weakly) nonlinear Schroedinger 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.

Keywords

SEMICLASSICAL ASYMPTOTICS
WEAKLY NONLINEAR
NONLINEAR BLOCH
WKB ANALYSIS
MODIFICATION
BLOCH WAVES

All Related Versions

Version 1, 2004-01-29, ArXiv
Version 2, 2004-02-04, ArXiv
Version 3, 2004-02-05, ArXiv
Version 4, 2004-04-19, ArXiv
Published version: Journal of Statistical Physics, 117 (1), 343.

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