Carles R., Markowich P.A., Sparber C. — Semiclassical Asymptotics for Weakly Nonlinear Bloch Waves
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Название: Semiclassical Asymptotics for Weakly Nonlinear Bloch Waves
Авторы: Carles R., Markowich P.A., Sparber C.
Аннотация:
Journal of Statistical Physics, Vol. 117, Nos. 1/2, October 2004. p. 343-375.
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 modification of the Berry phase.
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