Schrödinger operators with \(\delta^{\prime}\)-interactions and the Kreĭn-Stieltjes string
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Publication:610554
DOI10.1134/S1064562410030026zbMath1204.47052OpenAlexW1967580339WikidataQ62469646 ScholiaQ62469646MaRDI QIDQ610554
Aleksey S. Kostenko, Mark M. Malamud
Publication date: 8 December 2010
Published in: Doklady Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1064562410030026
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Spectrum, resolvent (47A10) General theory of ordinary differential operators (47E05) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)
Related Items (4)
Construction of self‐adjoint differential operators with prescribed spectral properties ⋮ Spectral theory of semibounded Schrödinger operators with \(\delta'\)-interactions ⋮ One-dimensional Schrödinger operators with \(\delta'\)-interactions on Cantor-type sets ⋮ Spectral theory of semibounded Sturm–Liouville operators with local interactions on a discrete set
Cites Work
- On the negative spectrum of one-dimensional Schrödinger operators with point interactions
- Generalized resolvents and the boundary value problems for Hermitian operators with gaps
- Boundary relations and their Weyl families
- A Schrödinger operator with a δ′‐interaction on a Cantor set and Krein–Feller operators
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