Low energy asymptotics of the spectral shift function for Pauli operators with nonconstant magnetic fields

DOI10.2977/PRIMS/18zbMath1200.35069arXiv0908.3704OpenAlexW2963005029MaRDI QIDQ710656

Georgi D. Raikov

Publication date: 20 October 2010

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.3704

zbMATH Keywords

spectral shift functionPauli operatorsLevinson formulalow-energy asymptotics

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (11)

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 ⋮ Eigenvalues behaviours for self-adjoint Pauli operators with unsigned perturbations and admissible magnetic fields ⋮ Levinson’s Theorem: An Index Theorem in Scattering Theory ⋮ Counting Function of Magnetic Eigenvalues for Non-definite Sign Perturbations ⋮ Threshold singularities of the spectral shift function for geometric perturbations of magnetic Hamiltonians ⋮ Threshold singularities of the spectral shift function for a half-plane magnetic 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 ⋮ Spectral properties of 2D Pauli operators with almost-periodic electromagnetic fields

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