SPECTRAL SHIFT FUNCTION FOR OPERATORS WITH CROSSED MAGNETIC AND ELECTRIC FIELDS

DOI10.1142/S0129055X10003941zbMath1192.35037arXiv0907.2164MaRDI QIDQ3573127

Mouez Dimassi, Vesselin Petkov

Publication date: 30 June 2010

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.2164

zbMATH Keywords

spectral shift functionmagnetic potentialStark operator

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (7)

Trace asymptotics formula for the Schrödinger operators with constant magnetic fields ⋮ Exponential decay property for eigenfunctions of Landau-Stark Hamiltonian ⋮ A trace formula and application to Stark Hamiltonians with nonconstant magnetic fields ⋮ Asymptotic density of eigenvalue clusters for the perturbed Landau Hamiltonian ⋮ Avron-Herbst type formula in crossed constant magnetic and time-dependent electric fields ⋮ Absence of embedded eigenvalues for Hamiltonian with crossed magnetic and electric fields ⋮ Spectral properties of the inner eigenvalues of transmission

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• QUASI-CLASSICAL VERSUS NON-CLASSICAL SPECTRAL ASYMPTOTICS FOR MAGNETIC SCHRÖDINGER OPERATORS WITH DECREASING ELECTRIC POTENTIALS
• Resonance width in crossed electric and magnetic field
• Eigenvalue Asymptotics for Weakly Perturbed Dirac and Schrödinger Operators with Constant Magnetic Fields of Full Rank

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