Schrödinger operators with $\delta$ and $\delta^{\prime}$-potentials supported on hypersurfaces

DOI10.1007/s00023-012-0189-5zbMath1275.81027arXiv1210.4709OpenAlexW3122825304MaRDI QIDQ1944791

Matthias Langer, Vladimir Lotoreichik, Jussi Behrndt

Publication date: 28 March 2013

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.4709

zbMATH Keywords

Schrödinger operator absolutely continuous spectrum wave operators Schatten-von Neumann class self-adjoint extension Weyl functions $\delta$ and $\delta'$-potential quasi boundary triples

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) 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) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15) (S)-matrix theory, etc. in quantum theory (81U20) Operator ideals (47L20)

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Cites Work

Schrödinger operators with \(\delta\) and \(\delta^{\prime}\)-potentials supported on hypersurfaces