Hiatus perturbation for a singular Schrödinger operator with an interaction supported by a curve in R3

DOI10.1063/1.2845419zbMath1153.81356arXiv0712.0313OpenAlexW3104292109MaRDI QIDQ3544651

Pavel Exner, Sylwia Kondej

Publication date: 8 December 2008

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

Full work available at URL: https://arxiv.org/abs/0712.0313

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Perturbation theory of linear operators (47A55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (15)

Asymptotic spectral analysis in colliding leaky quantum layers ⋮ Singular Schrödinger operators and Robin billiards. Spectral properties and asymptotic expansions ⋮ Weakly coupled bound state of 2-D Schrödinger operator with potential-measure ⋮ Strong coupling asymptotics for Schrödinger operators with an interaction supported by an open arc in three dimensions ⋮ Dirac operators, shell interactions, and discontinuous gauge functions across the boundary ⋮ Resonances induced by broken symmetry in a system with a singular potential ⋮ Spectral optimization for strongly singular Schrödinger operators with a star-shaped interaction ⋮ Spectral theory for Schrödinger operators with \(\delta\)-interactions supported on curves in \(\mathbb {R}^3\) ⋮ A Klein-Gordon particle captured by embedded curves ⋮ On absence of bound states for weakly attractive δ′-interactions supported on non-closed curves in ℝ2 ⋮ Self-adjointness and spectral properties of Dirac operators with magnetic links ⋮ Infinitely many singular interactions on noncompact manifolds ⋮ Optimization of the lowest eigenvalue for leaky star graphs ⋮ Asymptotics of the bound state induced by δ-interaction supported on a weakly deformed plane ⋮ Bound states asymptotics in the system with quantum wires in ℝ³

Cites Work

• Unnamed Item
• Unnamed Item
• Schrödinger operators with singular interactions
• Asymptotics of eigenvalues of the Schrödinger operator with a strong \(\delta\)-interaction on a loop
• Geometrically induced spectrum in curved leaky wires
• Finitely many δ interactions with supports on concentric spheres
• Leaky quantum graphs: approximations by point-interaction Hamiltonians
• Convergence of Schrödinger Operators
• Scattering by local deformations of a straight leaky wire
• A Krein-like formula for singular perturbations of self-adjoint operators and applications

This page was built for publication: Hiatus perturbation for a singular Schrödinger operator with an interaction supported by a curve in R3