Spectral asymptotics of a broken δ-interaction

DOI10.1088/1751-8113/47/15/155203zbMath1288.81044arXiv1312.5947OpenAlexW3103618340MaRDI QIDQ5414950

Vincent Duchêne, Nicolas Raymond

Publication date: 8 May 2014

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

Full work available at URL: https://arxiv.org/abs/1312.5947

zbMATH Keywords

bound statessemiclassical analysisdelta interaction

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) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (9)

Tunneling for the Robin Laplacian in smooth planar domains ⋮ Gap asymptotics in a weakly bent leaky quantum wire ⋮ On the bound states of Schrödinger operators with δ-interactions on conical surfaces ⋮ Asymptotic spectral analysis in colliding leaky quantum layers ⋮ Spectral asymptotics for \(\delta\)-interactions on sharp cones ⋮ Strong coupling asymptotics for \(\delta \)-interactions supported by curves with cusps ⋮ Weyl formulae for the Robin Laplacian in the semiclassical limit ⋮ Optimization of the lowest eigenvalue for leaky star graphs ⋮ Bound states asymptotics in the system with quantum wires in ℝ³

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