The model magnetic Laplacian on wedges

DOI10.4171/JST/109zbMath1327.81201arXiv1309.6077OpenAlexW2963287176MaRDI QIDQ748371

Nicolas Popoff

Publication date: 20 October 2015

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

Full work available at URL: https://arxiv.org/abs/1309.6077

zbMATH Keywords

Schrödinger operatorsmagnetic fieldlinear eigenvalue problemsingular domain

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items (6)

Limiting absorption principle for the magnetic Dirichlet Laplacian in a half-plane ⋮ Magnetic Laplacian in Sharp Three-dimensional Cones ⋮ Singular Schrödinger operators and Robin billiards. Spectral properties and asymptotic expansions ⋮ A 3D-Schrödinger operator under magnetic steps with semiclassical applications ⋮ On the bound states of magnetic Laplacians on wedges ⋮ On a quantum Hamiltonian in a unitary magnetic field with axisymmetric potential

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