Persistent currents for the 2D Schrödinger operator with a strong δ-interaction on a loop

DOI10.1088/0305-4470/35/15/309zbMath1010.81012arXivmath-ph/0201020OpenAlexW2005421442MaRDI QIDQ4545265

Pavel Exner, Kazushi Yoshitomi

Publication date: 15 August 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0201020

zbMATH Keywords

magnetic Schrödinger operatorasymptotics of negative eigenvalues

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Electromagnetic interaction; quantum electrodynamics (81V10) PDEs in connection with quantum mechanics (35Q40)

Related Items (10)

Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces ⋮ Strong coupling asymptotics for Schrödinger operators with an interaction supported by an open arc in three dimensions ⋮ On the bound states of magnetic Laplacians on wedges ⋮ Schrödinger operators with \(\delta\) and \(\delta^{\prime}\)-potentials supported on hypersurfaces ⋮ Spectral analysis of a quantum system with a double line singular interaction ⋮ Upper bound for the number of bound states induced by the curvature of singular potential ⋮ Resonances induced by broken symmetry in a system with a singular potential ⋮ The Landau Hamiltonian with δ-potentials supported on curves ⋮ Schrödinger operator with a strong varying interaction on a curve in $\mathbb {R}^2$R2 ⋮ Spectral theory for Schrödinger operators with \(\delta\)-interactions supported on curves in \(\mathbb {R}^3\)

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