On the negative spectrum of one-dimensional Schrödinger operators with point interactions

DOI10.1007/s00020-010-1759-xzbMath1215.34108arXiv0903.1180OpenAlexW2963608492MaRDI QIDQ989957

N. Goloschapova, Leonid L. Oridoroga

Publication date: 23 August 2010

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.1180

zbMATH Keywords

Schrödinger operatorpoint interactionsself-adjoint extensionsnumber of negative squares

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items (9)

\(\delta^{\prime}\)-interaction as a limit of a thin Neumann waveguide with transversal window ⋮ Schrödinger operators with \(\delta^{\prime}\)-interactions and the Kreĭn-Stieltjes string ⋮ On the number of bound states of point interactions on hyperbolic manifolds ⋮ Spectral theory of semibounded Schrödinger operators with \(\delta'\)-interactions ⋮ One-dimensional Schrödinger operators with \(\delta'\)-interactions on Cantor-type sets ⋮ Spectral analysis of the half-line Kronig-Penney model with Wigner-von Neumann perturbations ⋮ Spherical Schrödinger operators with δ-type interactions ⋮ On the negative spectrum of one-dimensional Schrödinger operators with point interactions ⋮ Spectral theory of semibounded Sturm–Liouville operators with local interactions on a discrete set

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