Semiclassical asymptotics for weakly nonlinear Bloch waves
数学物理
2007-05-23 v4 偏微分方程分析
math.MP
摘要
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.
引用
@article{arxiv.math-ph/0401053,
title = {Semiclassical asymptotics for weakly nonlinear Bloch waves},
author = {Remi Carles and Peter A. Markowich and Christof Sparber},
journal= {arXiv preprint arXiv:math-ph/0401053},
year = {2007}
}
备注
References added; more explanations; inaccuracy concerning the initial data fixed