Semiclassical asymptotics for weakly nonlinear Bloch waves

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dc.creatorCarles, Remi
dc.creatorMarkowich, Peter A.
dc.creatorSparber, Christof
dc.date2004-01-29
dc.date2004-04-19
dc.date.accessioned2026-07-07T04:30:54Z
dc.date.available2026-07-07T04:30:54Z
dc.descriptionWe 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.
dc.descriptionReferences added; more explanations; inaccuracy concerning the initial data fixed
dc.identifierhttps://arxiv.org/abs/math-ph/0401053
dc.identifierhttp://arxiv.org/abs/math-ph/0401053
dc.identifierJ. Stat. Phys., 117 (2004), nos. 1-2, 343-375.
dc.identifierdoi:10.1023/B:JOSS.0000044070.34410.17
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57632
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subject81Q20; 34E13; 34E20; 35Q55
dc.titleSemiclassical asymptotics for weakly nonlinear Bloch waves
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