Dirichlet and Neumann eigenvalues for half-plane magnetic Hamiltonians

DOI10.1142/S0129055X14500032zbMath1286.35180arXiv1212.1727WikidataQ114073258 ScholiaQ114073258MaRDI QIDQ5411794

Pablo Miranda, Vincent Bruneau, Georgi D. Raikov

Publication date: 25 April 2014

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

Full work available at URL: https://arxiv.org/abs/1212.1727

zbMATH Keywords

eigenvalue distributionmagnetic Schrödinger operatorsDirichlet and Neumann boundary conditions

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (10)

Eigenvalue asymptotics for a Schrödinger operator with non-constant magnetic field along one direction ⋮ Limiting absorption principle for the magnetic Dirichlet Laplacian in a half-plane ⋮ Threshold singularities of the spectral shift function for a half-plane magnetic Hamiltonian ⋮ The Landau Hamiltonian with δ-potentials supported on curves ⋮ On a quantum Hamiltonian in a unitary magnetic field with axisymmetric potential ⋮ Eigenvalue counting function for Robin Laplacians on conical domains ⋮ Spectrum of the Iwatsuka Hamiltonian at thresholds ⋮ Characterization of bulk states in one-edge quantum Hall systems ⋮ Gaplessness of Landau Hamiltonians on hyperbolic half-planes via coarse geometry ⋮ On the ground state energy of the Laplacian with a magnetic field created by a rectilinear current

Cites Work

• Eigenvalues variation. I: Neumann problem for Sturm--Liouville operators
• Corrections to the classical behavior of the number of bound states of Schrödinger operators
• The absolute continuity of the integrated density of states for magnetic Schrödinger operators with certain unbounded random potentials
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