Eigenvalue asymptotics of the even-dimensional exterior Landau-Neumann Hamiltonian

DOI10.1155/2009/873704zbMath1201.81055arXiv0806.4513OpenAlexW3125728902WikidataQ58646985 ScholiaQ58646985MaRDI QIDQ606106

Mikael Persson Sundqvist

Publication date: 16 November 2010

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

Full work available at URL: https://arxiv.org/abs/0806.4513

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (16)

Eigenvalue asymptotics for a Schrödinger operator with non-constant magnetic field along one direction ⋮ Clusters of eigenvalues for the magnetic Laplacian with Robin condition ⋮ Spectral Clusters for Magnetic Exterior Problems ⋮ Threshold singularities of the spectral shift function for geometric perturbations of magnetic Hamiltonians ⋮ On the essential spectrum of magnetic Schrödinger operators in exterior domains ⋮ Wave equation for operators with discrete spectrum and irregular propagation speed ⋮ The fate of Landau levels under \(\delta\)-interactions ⋮ Trace asymptotics formula for the Schrödinger operators with constant magnetic fields ⋮ Threshold singularities of the spectral shift function for a half-plane magnetic Hamiltonian ⋮ The Landau Hamiltonian with δ-potentials supported on curves ⋮ Very weak solutions of wave equation for Landau Hamiltonian with irregular electromagnetic field ⋮ Lieb-Thirring type inequalities for non-self-adjoint perturbations of magnetic Schrödinger operators ⋮ Discrete spectrum of quantum Hall effect Hamiltonians. I: Monotone edge potentials ⋮ Counting function of magnetic resonances for exterior problems ⋮ Sharp trace asymptotics for a class of \(2D\)-magnetic operators ⋮ Spectral properties of Landau Hamiltonians with non-local potentials

Cites Work

• Spectral asymptotics of Pauli operators and orthogonal polynomials in complex domains
• Spectral asymptotics for magnetic Schrödinger operators with rapidly decreasing electric potentials.
• Partial differential equations. 2: Qualitative studies of linear equations
• Eigenvalue asymptotics for the södinger operator
• Eigenvalue Asymptotics for Weakly Perturbed Dirac and Schrödinger Operators with Constant Magnetic Fields of Full Rank

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