A one-dimensional Schrödinger operator with point interactions on Sobolev spaces

DOI10.1007/s10688-006-0022-3zbMath1104.34341OpenAlexW1964159852MaRDI QIDQ2498298

Leonid P. Nizhnik

Publication date: 16 August 2006

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-006-0022-3

zbMATH Keywords

Sobolev spaceSchrödinger operatorpoint interactionselfadjoint extensionnondensely defined operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) Dilations, extensions, compressions of linear operators (47A20)

Related Items (4)

1D Schrödinger operators with short range interactions: two-scale regularization of distributional potentials ⋮ One-dimensional Schrödinger operators with singular potentials: a Schwartz distributional formulation ⋮ On the perturbation theory of self-adjoint operators ⋮ Scattering data and bound states of a squeezed double-layer structure

Cites Work

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• Generalized resolvents and the boundary value problems for Hermitian operators with gaps
• On the number of negative eigenvalues of a one-dimensional Schrödinger operator with point interactions
• A Schrödinger operator with point interactions on Sobolev spaces
• \({\mathcal H}_{-n}\)-perturbations of self-adjoint operators and Krein's resolvent formula
• Boundary conditions at the derivative of a delta function

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