A Schrödinger operator with point interactions on Sobolev spaces

DOI10.1007/s11005-004-5096-3zbMath1112.35050OpenAlexW2051422654MaRDI QIDQ1780003

Sergio A. Albeverio, Leonid P. Nizhnik

Publication date: 6 June 2005

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-004-5096-3

zbMATH Keywords

Sobolev spaceSchrödinger operatorpoint interactionsself-adjoint extensiondeficiency indices

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Schrödinger operator, Schrödinger equation (35J10) Exactly solvable models; Bethe ansatz (82B23)

Related Items

Schrödinger operators with nonlocal point interactions ⋮ A one-dimensional Schrödinger operator with point interactions on Sobolev spaces ⋮ On the perturbation theory of self-adjoint operators

Cites Work

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• On the number of negative eigenvalues of a one-dimensional Schrödinger operator with point interactions
• \({\mathcal H}_{-n}\)-perturbations of self-adjoint operators and Krein's resolvent formula
• On a formula of the generalized resolvents of a nondensely defined Hermitian operator