On absence of bound states for weakly attractive δ′-interactions supported on non-closed curves in ℝ2

DOI10.1063/1.4939749zbMath1338.81201arXiv1508.04577OpenAlexW3101696693MaRDI QIDQ2795538

Vladimir Lotoreichik, Michal Jex

Publication date: 21 March 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.04577

zbMATH Keywords

spectrum of Schrödinger operatorbound states for weakly attractive \(\delta^{\prime}\)-interactionsnon-closed curves

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Operations with distributions and generalized functions (46F10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Relationships between algebraic curves and physics (14H81)

Related Items (7)

Two-dimensional quantum scattering by non-isotropic interactions localized on a circle, applications to open billiards ⋮ Singular Schrödinger operators and Robin billiards. Spectral properties and asymptotic expansions ⋮ 2D Schrödinger operators with singular potentials concentrated near curves ⋮ Construction of self‐adjoint differential operators with prescribed spectral properties ⋮ Spectral isoperimetric inequalities for singular interactions on open arcs ⋮ Trace Hardy inequality for the Euclidean space with a cut and its applications ⋮ Generalized interactions supported on hypersurfaces

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