Semindeshclassical constructions in solid state physics

DOI10.1080/03605309108820759zbMath0732.35079OpenAlexW2011447514MaRDI QIDQ3357584

Werner Horn

Publication date: 1991

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309108820759

zbMATH Keywords

magnetic fieldSchrödinger equationApproximate eigenfunctions

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) PDEs in connection with quantum mechanics (35Q40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (2)

Gaussian beam construction for adiabatic perturbations ⋮ Resonances for perturbed periodic Schrödinger operator

Cites Work

• Semiclassical analysis of low lying eigenvalues. II: Tunneling
• Precise estimates for tunneling and eigenvalues near a potential barrier
• Semi-classical asymptotics in solid state physics
• Solution explicite du problème de Cauchy pour des opérateurs effectivement hyperboliques
• Instantons, double wells and large deviations
• Multiple wells in the semi-classical limit I
• Semiclassical approximation for equations with periodic coefficients
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