Generalized interactions supported on hypersurfaces
From MaRDI portal
Publication:2804959
DOI10.1063/1.4947181zbMath1339.81038arXiv1511.06903OpenAlexW2266846955MaRDI QIDQ2804959
Pavel Exner, Jonathan Rohleder
Publication date: 9 May 2016
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.06903
Linear operator inequalities (47A63) Perturbation theory of linear operators (47A55) Eigenvalue problems for linear operators (47A75) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
Related Items
Limiting absorption principle, generalized eigenfunctions, and scattering matrix for Laplace operators with boundary conditions on hypersurfaces ⋮ On Schrödinger operators with δ′-potentials supported on star graphs ⋮ Two-dimensional quantum scattering by non-isotropic interactions localized on a circle, applications to open billiards ⋮ Spectral enclosures for non-self-adjoint extensions of symmetric operators ⋮ Dirac operators with Lorentz scalar shell interactions ⋮ 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 ⋮ Scattering properties of two singularly interacting particles on the half-line ⋮ Spectral isoperimetric inequalities for singular interactions on open arcs ⋮ Green's function for the Schrödinger equation with a generalized point interaction and stability of superoscillations ⋮ Scattering from local deformations of a semitransparent plane ⋮ A spectral isoperimetric inequality for cones ⋮ Trace Hardy inequality for the Euclidean space with a cut and its applications ⋮ Asymptotic completeness and S-matrix for singular perturbations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces
- Asymptotic eigenvalue estimates for a Robin problem with a large parameter
- Weakly coupled bound state of 2-D Schrödinger operator with potential-measure
- A description of all self-adjoint extensions of the Laplacian and Kreĭn-type resolvent formulas on non-smooth domains
- Mean curvature bounds and eigenvalues of Robin Laplacians
- Resonance asymptotics in the generalized Winter model
- Schrödinger operators with singular interactions
- Perturbation theory for linear operators.
- The first Robin eigenvalue with negative boundary parameter
- Quantum waveguides
- On absence of bound states for weakly attractive δ′-interactions supported on non-closed curves in ℝ2
- An Eigenvalue Inequality for Schrödinger Operators with δ- and δ’-interactions Supported on Hypersurfaces
- Schrödinger operators withδ-interactions supported on conical surfaces
- Schrödinger operators with δ- and δ′-interactions on Lipschitz surfaces and chromatic numbers of associated partitions
- Eigenvalues for the Robin Laplacian in domains with variable curvature
- Leaky Quantum Graphs: A Review
- On geometric perturbations of critical Schrödinger operators with a surface interaction
- Periodic Schrödinger operators with large gaps and Wannier-Stark ladders
- Bound states due to a strong interaction supported by a curved surface
- Tunneling between corners for Robin Laplacians
- Spectra of soft ring graphs
- Bound states in curved quantum layers