Semiclassical asymptotics for weakly nonlinear Bloch waves

被引：28
作者：
Carles, R
Markowich, PA
Sparber, C
机构：
[1] Univ Rennes 1, IRMAR, F-35042 Rennes, France
[2] Univ Vienna, Inst Math, A-1090 Vienna, Austria
来源：
JOURNAL OF STATISTICAL PHYSICS | 2004年 / 117卷 / 1-2期
基金：
奥地利科学基金会;
关键词：
nonlinear schrodinger equation; Bloch eigenvalue problem; WKB-asymptotics; Bose-Einstein condensate;
D O I：
10.1023/B:JOSS.0000044070.34410.17
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the simultaneous semi-classical and adiabatic asymptotics for a class of (weakly) nonlinear Schrodinger 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 modi. cation of the Berry phase.
引用
收藏
页码：343 / 375
页数：33
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