Discrete spectrum of quantum Hall effect Hamiltonians. I: Monotone edge potentials

DOI10.4171/JST/11zbMath1219.35158arXiv1008.5182MaRDI QIDQ2276073

Georgi D. Raikov, Vincent Bruneau, Pablo Miranda

Publication date: 16 August 2011

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.5182

zbMATH Keywords

eigenvalue distributionspectral gapsmagnetic schroedinger operators

Mathematics Subject Classification ID

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 (6)

Eigenvalue asymptotics for a Schrödinger operator with non-constant magnetic field along one direction ⋮ Trace asymptotics formula for the Schrödinger operators with constant magnetic fields ⋮ Threshold singularities of the spectral shift function for a half-plane magnetic Hamiltonian ⋮ Eigenvalue counting function for Robin Laplacians on conical domains ⋮ On an extension of the Iwatsuka model ⋮ On the ground state energy of the Laplacian with a magnetic field created by a rectilinear current

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