Semiclassical wave packet dynamics in Schrödinger equations with periodic potentials

DOI10.3934/dcdsb.2012.17.759zbMath1238.81120arXiv1101.3136OpenAlexW2036996841MaRDI QIDQ414731

Rémi Carles, Christof Sparber

Publication date: 11 May 2012

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.3136

zbMATH Keywords

Schrödinger equationperiodic potentialBloch bandEhrenfest timesemiclassical wave packet

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Theoretical approximation in context of PDEs (35A35) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

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