Semiclassical Asymptotics for Weakly Nonlinear Bloch Waves
نویسندگان
چکیده
منابع مشابه
Semiclassical Asymptotics for Weakly Nonlinear Bloch Waves
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.
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2004
ISSN: 0022-4715
DOI: 10.1023/b:joss.0000044070.34410.17