On the asymptotic number of edge states for magnetic Schrödinger operators

DOI10.1112/plms/pdl024zbMath1131.35076arXivmath-ph/0603046OpenAlexW2044674363MaRDI QIDQ5297622

Rupert L. Frank

Publication date: 12 July 2007

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0603046

zbMATH Keywords

Neumann boundary conditionasymptotic behavioursuperconductivity.

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 (11)

Energy of surface states for 3D magnetic Schrödinger operators ⋮ Clusters of eigenvalues for the magnetic Laplacian with Robin condition ⋮ Tunneling for the Robin Laplacian in smooth planar domains ⋮ On the essential spectrum of magnetic Schrödinger operators in exterior domains ⋮ Spectral asymptotics for magnetic Schrödinger operators in domains with corners ⋮ Spectral invariants of the magnetic Dirichlet-to-Neumann map on Riemannian manifolds ⋮ Effective operators on an attractive magnetic edge ⋮ WEYL ASYMPTOTICS FOR MAGNETIC SCHRÖDINGER OPERATORS AND DE GENNES' BOUNDARY CONDITION ⋮ Sharp trace asymptotics for a class of \(2D\)-magnetic operators ⋮ Semi-classical trace asymptotics for magnetic Schrödinger operators with Robin condition ⋮ Edge States for the Magnetic Laplacian in Domains with Smooth Boundary

This page was built for publication: On the asymptotic number of edge states for magnetic Schrödinger operators