Limiting absorption principle for the magnetic Dirichlet Laplacian in a half-plane

DOI10.1080/03605302.2016.1167081zbMath1350.35071arXiv1409.6082OpenAlexW2284657140MaRDI QIDQ3188101

Nicolas Popoff, Eric Soccorsi

Publication date: 16 August 2016

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.6082

zbMATH Keywords

thresholdsconstant magnetic fieldDirichlet Laplaciantwo-dimensional Schrödinger operatorsfibered magnetic Laplacianslimit absorption

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) NLS equations (nonlinear Schrödinger equations) (35Q55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (4)

Magnetic quantum currents in the presence of a Neumann wall ⋮ Threshold singularities of the spectral shift function for a half-plane magnetic Hamiltonian ⋮ On a quantum Hamiltonian in a unitary magnetic field with axisymmetric potential ⋮ Spectral theory for Maxwell’s equations at the interface of a metamaterial. Part II: Limiting absorption, limiting amplitude principles and interface resonance

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