On the singularities of the magnetic spectral shift function at the Landau levels

DOI10.1007/s00023-004-0173-9zbMath1062.81043OpenAlexW2064355677MaRDI QIDQ1889876

Georgi D. Raikov, Claudio Fernandez

Publication date: 13 December 2004

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/175490

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Statistical mechanics of semiconductors (82D37)

Related Items

\(q\)-deformed Morse and oscillator potential, 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, High energy asymptotics of the magnetic spectral shift function, Threshold singularities of the spectral shift function for geometric perturbations of magnetic Hamiltonians, A trace formula for long-range perturbations of the Landau Hamiltonian, Threshold singularities of the spectral shift function for a half-plane magnetic Hamiltonian, Asymptotic density of eigenvalue clusters for the perturbed Landau Hamiltonian, Eigenvalue counting function for Robin Laplacians on conical domains, 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, Counting function of magnetic resonances for exterior problems, Resonances and spectral shift function for a magnetic Schrödinger operator, Spectral properties of Landau Hamiltonians with non-local potentials, Spectral asymptotics at thresholds for a Dirac-type operator on \(\mathbb{Z}^2\), The spectral density of a difference of spectral projections