Semiclassical asymptotics in magnetic Bloch bands

DOI10.1088/0305-4470/35/35/304zbMath1066.81541OpenAlexW2057319197MaRDI QIDQ4466080

Mouez Dimassi, J. V. Ralston, Jean-Claude Guillot

Publication date: 9 June 2004

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/857ee3c453793d3c77d7058b39ad43d6a01a8c47

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (14)

Semiclassical Gevrey operators and magnetic translations ⋮ Effective wave factorization for a stochastic Schrödinger equation ⋮ Gaussian beam construction for adiabatic perturbations ⋮ Bloch dynamics with second order Berry phase correction ⋮ Asymptotic analysis of quantum dynamics in crystals: the Bloch-Wigner transform, Bloch dynamics and Berry phase ⋮ Multiscale analysis and numerical algorithm for the Schrödinger equations in heterogeneous media ⋮ Effective approximation for a nonlocal stochastic Schrödinger equation with oscillating potential ⋮ Second-Order Homogenization of Periodic Schrödinger Operators with Highly Oscillating Potentials ⋮ Resonances for perturbed periodic Schrödinger operator ⋮ Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice. II: Impurities, confinement and Bloch oscillations ⋮ Microlocal analysis of the bulk-edge correspondence ⋮ Spectral shift function and resonances for slowly varying perturbations of periodic Schrödinger operators ⋮ Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice. III: From ab initio models to WKB for Schrödinger-Poisson ⋮ Homogenization of the Schrödinger equation and effective mass theorems

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