Spectral bounds for non-smooth perturbations of the Landau Hamiltonian

MaRDI QIDQ6144556

Jacques Barbe

Publication date: 5 January 2024

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/osaka-journal-of-mathematics/volume-60/issue-4/Spectral-bounds-for-non-smooth-perturbations-of-the-landau-Hamiltonian/5742ojm.full

zbMATH Keywords

counting functionLandeau Hamiltonian

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Pseudodifferential operators (47G30)

Cites Work

• On pseudodifferential operators with symbols in generalized Shubin classes and an application to Landau-Weyl operators
• Weyl transforms
• Foundations of time-frequency analysis
• Generalized Anti-Wick operators with symbols in distributional Sobolev spaces
• Weyl transforms, the heat kernel and Green function of a degenerate elliptic operator
• Spectral Properties of a Class of Generalized Landau Operators
• Symplectic Methods in Harmonic Analysis and in Mathematical Physics
• Harmonic Analysis in Phase Space. (AM-122)
• QUASI-CLASSICAL VERSUS NON-CLASSICAL SPECTRAL ASYMPTOTICS FOR MAGNETIC SCHRÖDINGER OPERATORS WITH DECREASING ELECTRIC POTENTIALS
• Eigenvalue asymptotics for the södinger operator
• Spectral properties of Landau Hamiltonians with non-local potentials
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