Eigenvalues in spectral gaps of the two-dimensional Pauli operator

DOI10.1063/1.1289826zbMath0973.81020OpenAlexW2072810910MaRDI QIDQ2731805

Alexander Besch

Publication date: 30 July 2001

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

Full work available at URL: https://doi.org/10.1063/1.1289826

zbMATH Keywords

eigenvaluesPauli operatorspectral gaplevel crossingLipschitz continuousperturbed operatorspurely magnetic periodic

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items

A hyperbolic model for viscous Newtonian flows, Localization of two-dimensional massless Dirac fermions in a magnetic quantum dot, Low energy asymptotics of the spectral shift function for Pauli operators with nonconstant magnetic fields, Spectral properties of 2D Pauli operators with almost-periodic electromagnetic fields

Cites Work

• On the existence of eigenvalues of the Schrödinger operator H-\(\lambda\) W in a gap of \(\sigma\) (H)
• Eigenvalue branches of the Schrödinger operator H-\(\lambda\) W in a gap of \(\sigma\) (H)
• Schrödinger operators with magnetic fields. I: General interactions
• Quasi-classical asymptotics for the Pauli operator
• Strong magnetic fields, Dirichlet boundaries, and spectral gaps
• On the Lieb-Thirring estimates for the Pauli operator
• On eigenvalues in gaps for perturbed magnetic Schrödinger operators