Equation de schrödinger avec champ electrique periodique et champ magnetique constant dans l'approximation du tight-binding

DOI10.1080/03605309308820959zbMath0784.35093OpenAlexW2062135581MaRDI QIDQ3141725

Franck Daumer

Publication date: 1 November 1993

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

Full work available at URL: https://doi.org/10.1080/03605309308820959

zbMATH Keywords

Schrödinger operatorperiodic electrical potentialpseudodifferential operator of Harper typewidths of the spectral bands

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs in connection with quantum mechanics (35Q40)

Related Items (7)

Dirac cones for a mean-field model of graphene ⋮ Internal Lifshits tails for random perturbations of periodic Schrödinger operators. ⋮ Tunneling between corners for Robin Laplacians ⋮ On the atomic orbital magnetism: a rigorous derivation of the Larmor and Van Vleck contributions ⋮ The periodic Lieb-Thirring inequality ⋮ Unnamed Item ⋮ Resonances of polyatomic molecules in the Born-Oppenheimer approximation

Cites Work

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• Semi-classical analysis for the Schrödinger operator and applications
• Instantons, double wells and large deviations
• Multiple wells in the semi-classical limit I
• Multiple Wells in the Semi-Classical Limit III - Interaction Through Non-Resonant Wells

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