Spectral analysis of a quantum system with a double line singular interaction

DOI10.4171/PRIMS/121zbMath1286.81081arXiv1307.1233MaRDI QIDQ2436083

David Krejčiřík, Sylwia Kondej

Publication date: 21 February 2014

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.1233

zbMATH Keywords

resonancesspectral analysissingular potentialsKrein formulaSchrodinger operator

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (5)

Asymptotic spectral analysis in colliding leaky quantum layers ⋮ Weakly coupled bound state of 2-D Schrödinger operator with potential-measure ⋮ Straight quantum layer with impurities inducing resonances ⋮ Infinitely many singular interactions on noncompact manifolds ⋮ Soft quantum waveguides with an explicit cut-locus

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