Spectral theory of semibounded Schrödinger operators with \(\delta'\)-interactions

DOI10.1007/s00023-013-0245-9zbMath1291.81152arXiv1212.1691OpenAlexW3103259066WikidataQ62469536 ScholiaQ62469536MaRDI QIDQ2448277

Aleksey S. Kostenko, Mark M. Malamud

Publication date: 30 April 2014

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

Full work available at URL: https://arxiv.org/abs/1212.1691

zbMATH Keywords

stabilityHamiltonianessential spectrum

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (7)

\(\delta^{\prime}\)-interaction as a limit of a thin Neumann waveguide with transversal window ⋮ Construction of self‐adjoint differential operators with prescribed spectral properties ⋮ One-dimensional Schrödinger operators with \(\delta'\)-interactions on Cantor-type sets ⋮ Singular Schrödinger operators with prescribed spectral properties ⋮ Stability of ground states for logarithmic Schrödinger equation with a \(\delta'\)-interaction ⋮ On absence of bound states for weakly attractive δ′-interactions supported on non-closed curves in ℝ2 ⋮ On the absolutely continuous spectrum of generalized indefinite strings

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