The Landau Hamiltonian with δ-potentials supported on curves

DOI10.1142/S0129055X20500105zbMath1465.35132arXiv1812.09145OpenAlexW2976220680MaRDI QIDQ5128721

Jussi Behrndt, Vladimir Lotoreichik, Pavel Exner, Markus Holzmann

Publication date: 25 October 2020

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

Full work available at URL: https://arxiv.org/abs/1812.09145

zbMATH Keywords

singular perturbationToeplitz operatorspectral asymptoticsmagnetic Schrödinger operatoreigenvalue clusteringLandau Hamiltonian\(\delta \)-potentialapproximation by regular potentials

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (6)

Eigenvalues of singular measures and Connes' noncommutative integration ⋮ The fate of Landau levels under \(\delta\)-interactions ⋮ On the single layer boundary integral operator for the Dirac equation ⋮ Self-adjoint Dirac operators on domains in \(\mathbb{R}^3\) ⋮ Magnetic field influence on the discrete spectrum of locally deformed leaky wires ⋮ Boundary integral formulations of eigenvalue problems for elliptic differential operators with singular interactions and their numerical approximation by boundary element methods

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