Clusters of eigenvalues for the magnetic Laplacian with Robin condition

DOI10.1063/1.4954500zbMath1355.81073arXiv1406.1020OpenAlexW2284047404MaRDI QIDQ3178337

Ayman Kachmar, Magnus Goffeng, Mikael Persson Sundqvist

Publication date: 11 July 2016

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

Full work available at URL: https://arxiv.org/abs/1406.1020

zbMATH Keywords

Schrödinger operatorclusters of eigenvaluesLandau levelsmagnetic Robin condition

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) 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) Boundary value problems for linear higher-order PDEs (35G15) Electro- and magnetostatics (78A30)

Related Items

Spectral Clusters for Magnetic Exterior Problems ⋮ Threshold singularities of the spectral shift function for geometric perturbations of magnetic Hamiltonians ⋮ The fate of Landau levels under \(\delta\)-interactions ⋮ On the bound states of magnetic Laplacians on wedges ⋮ Threshold singularities of the spectral shift function for a half-plane magnetic Hamiltonian ⋮ The Landau Hamiltonian with δ-potentials supported on curves ⋮ Counting function of magnetic resonances for exterior problems ⋮ Semi-classical trace asymptotics for magnetic Schrödinger operators with Robin condition ⋮ Spectral properties of Landau Hamiltonians with non-local potentials

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