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• W2036996841 startingPage "759" @default.
• W2036996841 abstract "We consider semiclassically scaled Schrödinger equations with anexternal potential and a highlyoscillatory periodic potential. We construct asymptotic solutions inthe form of semiclassical wave packets. These solutions areconcentrated (both, in space and in frequency) around the effectivesemiclassical phase-space flow, and involve aslowly varying envelope whose dynamics is governed by a homogenizedSchrödinger equation withtime-dependent effective mass tensor. The corresponding adiabatic decouplingof the slow andfast degrees of freedom is shown to be validup to Ehrenfest time scales." @default.
• W2036996841 created "2016-06-24" @default.
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• W2036996841 date "2012-01-01" @default.
• W2036996841 modified "2023-10-17" @default.
• W2036996841 title "Semiclassical wave packet dynamics in Schrödinger equations with periodic potentials" @default.
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• W2036996841 doi "https://doi.org/10.3934/dcdsb.2012.17.759" @default.
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