Eigenvalue asymptotics for the schrodinger operator in strong constant magnetic fields

DOI10.1080/03605309808821395zbMath0919.35097OpenAlexW2047635928MaRDI QIDQ4220073

Georgi D. Raikov

Publication date: 2 September 1999

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

Full work available at URL: https://doi.org/10.1080/03605309808821395

zbMATH Keywords

Pauli operatorLandau levels

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Schrödinger operator, Schrödinger equation (35J10)

Related Items (9)

Trace asymptotics formula for the Schrödinger operators with constant magnetic fields ⋮ Asymptotic density of eigenvalue clusters for the perturbed Landau Hamiltonian ⋮ Eigenvalues and eigenfunctions for the two dimensional Schrödinger operator with strong magnetic field ⋮ 100 years of Weyl's law ⋮ DÉVELOPPEMENTS ASYMPTOTIQUES DE L'OPÉRATEUR DE SCHRÖDINGER AVEC CHAMP MAGNÉTIQUE FORT ⋮ Spectral shift function in strong magnetic fields ⋮ Discrete spectrum of quantum Hall effect Hamiltonians. I: Monotone edge potentials ⋮ Eigenvalue asymptotics for the Pauli operator in strong nonconstant magnetic fields ⋮ Perturbations of the Landau Hamiltonian: asymptotics of eigenvalue clusters

Cites Work

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• Strong-electric-field eigenvalue asymptotics for the perturbed magnetic Schrödinger operator
• Asymptotics of heavy atoms in high magnetic fields. II: Semiclassical regions
• The weyl calculus of pseudo-differential operators
• Asymptotics of heavy atoms in high magnetic fields: I. Lowest landau band regions
• Eigenvalue asymptotics for the södinger operator

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