Strong Coupling Asymptotics for a Singular Schrödinger Operator with an Interaction Supported by an Open Arc

DOI10.1080/03605302.2013.851213zbMath1291.35247arXiv1207.2271OpenAlexW1996097823MaRDI QIDQ5413809

Pavel Exner, Konstantin Pankrashkin

Publication date: 2 May 2014

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

Full work available at URL: https://arxiv.org/abs/1207.2271

zbMATH Keywords

eigenvalueSchrödinger operatorstrong couplingsingular interaction

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10)

Related Items (12)

Eigenvalues of singular measures and Connes' noncommutative integration ⋮ Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces ⋮ Discrete spectrum of interactions concentrated near conical surfaces ⋮ Asymptotic spectral analysis in colliding leaky quantum layers ⋮ Singular Schrödinger operators and Robin billiards. Spectral properties and asymptotic expansions ⋮ Strong coupling asymptotics for Schrödinger operators with an interaction supported by an open arc in three dimensions ⋮ Strong coupling asymptotics for \(\delta \)-interactions supported by curves with cusps ⋮ Spectral isoperimetric inequalities for singular interactions on open arcs ⋮ Leaky quantum structures ⋮ Schrödinger operator with a strong varying interaction on a curve in $\mathbb {R}^2$R2 ⋮ On eigenvalue asymptotics for strong δ-interactions supported by surfaces with boundaries ⋮ Bound states asymptotics in the system with quantum wires in ℝ³

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• Leaky Quantum Graphs: A Review
• On the principal eigenvalue of a Robin problem with a large parameter
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