On eigenvalue asymptotics for strong δ-interactions supported by surfaces with boundaries

DOI10.3233/ASY-151341zbMath1398.35138arXiv1506.06583OpenAlexW3105898962MaRDI QIDQ2816224

Jaroslav Dittrich, Christian Kühn, Konstantin Pankrashkin, Pavel Exner

Publication date: 4 July 2016

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06583

zbMATH Keywords

eigenvaluestrong couplingsingular Schrödinger operator\(\delta\)-interaction

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Second-order elliptic equations (35J15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Spectral theory; eigenvalue problems on manifolds (58C40) Perturbations of PDEs on manifolds; asymptotics (58J37) PDEs on manifolds (35R01) PDEs with measure (35R06)

Related Items (8)

Optimization of the lowest eigenvalue of a soft quantum ring ⋮ Discrete spectrum of interactions concentrated near conical surfaces ⋮ On the MIT bag model in the non-relativistic limit ⋮ Singular Schrödinger operators and Robin billiards. Spectral properties and asymptotic expansions ⋮ 2D Schrödinger operators with singular potentials concentrated near curves ⋮ Spectral isoperimetric inequalities for singular interactions on open arcs ⋮ Leaky quantum structures ⋮ On the eigenvalues of quantum graph Laplacians with large complex \(\delta\) couplings

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