Spectral shift function in strong magnetic fields

DOI10.1090/S1061-0022-04-00847-7zbMath1082.35115MaRDI QIDQ4675549

Alexander Pushnitski, Vincent Bruneau, Georgi D. Raikov

Publication date: 4 May 2005

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

asymptoticsSchrödinger operatorspectral shift function

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Schrödinger operator, Schrödinger equation (35J10) Quantum scattering theory (81U99)

Related Items (max. 100)

Berezin-Toeplitz quantization associated with higher Landau levels of the Bochner Laplacian ⋮ Resonances and spectral shift function near the Landau levels ⋮ Spectral Clusters for Magnetic Exterior Problems ⋮ Counting Function of Magnetic Eigenvalues for Non-definite Sign Perturbations ⋮ Threshold singularities of the spectral shift function for geometric perturbations of magnetic Hamiltonians ⋮ On the spectrum of Bargmann-Toeplitz operators with symbols of a variable sign ⋮ Threshold singularities of the spectral shift function for a half-plane magnetic Hamiltonian ⋮ The Birman-Schwinger principle on the essential spectrum ⋮ The Landau Hamiltonian with δ-potentials supported on curves ⋮ Lifshitz tails in constant magnetic fields ⋮ Spectrum of the Iwatsuka Hamiltonian at thresholds ⋮ Lieb-Thirring type inequalities for non-self-adjoint perturbations of magnetic Schrödinger operators ⋮ Low energy asymptotics of the spectral shift function for Pauli operators with nonconstant magnetic fields ⋮ Finite Rank Toeplitz Operators in the Bergman Space ⋮ Toeplitz operators in polyanalytic Bergman type spaces ⋮ Index formulas and charge deficiencies on the Landau levels ⋮ Spectral properties of Landau Hamiltonians with non-local potentials

Cites Work

• Schrödinger operators with magnetic fields. I: General interactions
• The index of a pair of projections
• The \(\Xi\) operator and its relation to Krein's spectral shift function
• Upper bounds on the density of states of single Landau levels broadened by Gaussian random potentials
• Eigenvalue asymptotics for the schrodinger operator in strong constant magnetic fields
• QUASI-CLASSICAL VERSUS NON-CLASSICAL SPECTRAL ASYMPTOTICS FOR MAGNETIC SCHRÖDINGER OPERATORS WITH DECREASING ELECTRIC POTENTIALS
• Estimates for the spectral shift function of the polyharmonic operator
• Eigenvalue asymptotics for the södinger operator
• The spectral shift function and the invariance principle
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