Semiclassical Asymptotics for Weakly Nonlinear Bloch Waves
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.
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关键词：
nonlinear schrodinger equation Bloch eigenvalue problem WKB-asymptotics Bose-Einstein condensate SCHRODINGER-EQUATION GEOMETRIC OPTICS DYNAMICS JUSTIFICATION ELECTRONS
DOI：
10.1023/b:joss.0000044070.34410.17
年份：
2004
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