One-dimensional Schrödinger operators with δ'-interactions on a set of Lebesgue measure zero

DOI10.7153/oam-07-49zbMath1301.47034arXiv1112.2545OpenAlexW2962805072MaRDI QIDQ2873573

Johannes F. Brasche, Leonid P. Nizhnik

Publication date: 24 January 2014

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.2545

zbMATH Keywords

eigenvaluesspectrumpoint interactionssingular Schrödinger operators

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Linear symmetric and selfadjoint operators (unbounded) (47B25) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (10)

\(\delta^{\prime}\)-interaction as a limit of a thin Neumann waveguide with transversal window ⋮ Distribution theory for Schrödinger’s integral equation ⋮ Schrödinger operators with δ- and δ′-interactions on Lipschitz surfaces and chromatic numbers of associated partitions ⋮ Sturm-Liouville operators with measure-valued coefficients ⋮ Inverse uniqueness results for Schrödinger operators using de Branges theory ⋮ Construction of self‐adjoint differential operators with prescribed spectral properties ⋮ 1D Schrödinger operators with short range interactions: two-scale regularization of distributional potentials ⋮ Spectral theory of semibounded Schrödinger operators with \(\delta'\)-interactions ⋮ One-dimensional Schrödinger operators with \(\delta'\)-interactions on Cantor-type sets ⋮ On absence of bound states for weakly attractive δ′-interactions supported on non-closed curves in ℝ2

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