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Article Dans Une Revue Journal of Statistical Physics Année : 2004

Semiclassical asymptotics for weakly nonlinear Bloch waves

Peter A. Markowich
  • Fonction : Auteur
Christof Sparber
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-00128337 , version 1 (31-01-2007)

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Rémi Carles, Peter A. Markowich, Christof Sparber. Semiclassical asymptotics for weakly nonlinear Bloch waves. Journal of Statistical Physics, 2004, 117 numéro 1-2, pp.343-375. ⟨hal-00128337⟩
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