Resonances and spectral shift function near the Landau levels

DOI10.5802/aif.2270zbMath1129.35053arXivmath/0603731OpenAlexW2023759208MaRDI QIDQ2372808

Georgi D. Raikov, Vincent Bruneau, Jean-François Bony

Publication date: 1 August 2007

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603731

zbMATH Keywords

spectral shift functionresonancesmagnetic Schrödinger operatorsBreit-Wigner approximation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (14)

A simple criterion for the existence of nonreal eigenvalues for a class of 2D and 3D Pauli operators ⋮ Spectral analysis near the low ground energy of magnetic Pauli operators ⋮ 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 ⋮ A trace formula and application to Stark Hamiltonians with nonconstant magnetic fields ⋮ Counting Function of Characteristic Values and Magnetic Resonances ⋮ 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 ⋮ Resonances near thresholds in slightly twisted waveguides ⋮ Counting function of magnetic resonances for exterior problems ⋮ Eigenvalue and resonance asymptotics in perturbed periodically twisted tubes: twisting versus bending ⋮ Resonances and spectral shift function for a magnetic Schrödinger operator ⋮ Spectral properties of Landau Hamiltonians with non-local potentials

Cites Work

• Spectral asymptotics of Pauli operators and orthogonal polynomials in complex domains
• Trace formula for nontrace-class perturbations
• Schrödinger operators with magnetic fields. I: General interactions
• Asymptotic distribution of resonances in one dimension
• Meromorphic continuation of the spectral shift function
• A local trace formula for resonances of perturbed periodic Schrödinger operators.
• Spectral distributions for long range perturbations
• On the singularities of the magnetic spectral shift function at the Landau levels
• Existence of resonances in three dimensions
• Barrier Resonances in Strong Magnetic Fields
• QUASI-CLASSICAL VERSUS NON-CLASSICAL SPECTRAL ASYMPTOTICS FOR MAGNETIC SCHRÖDINGER OPERATORS WITH DECREASING ELECTRIC POTENTIALS
• Spectral shift function in strong magnetic fields
• Eigenvalue asymptotics for the södinger operator
• GROUND STATE RESONANCES OF A HYDROGEN ATOM IN AN INTENSE MAGNETIC FIELD
• Spectral Shift Function for Magnetic Schrödinger Operators
• Trace formula for resonances in small domains
• Semi-classical estimates on the scattering determinant
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Resonances and spectral shift function near the Landau levels