Leaky quantum structures
DOI10.1134/S0081543820060073zbMath1457.81041OpenAlexW3126631689MaRDI QIDQ2227087
Publication date: 9 February 2021
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0081543820060073
Dirac operatorsasymptotic expansionsspectral propertiessingular Schrödinger operatorscodimension 1 manifolds
General topics in linear spectral theory for PDEs (35P05) Operations with distributions and generalized functions (46F10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Linear operator approximation theory (47A58) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Deformations of singularities (14B07) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
Cites Work
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- An isoperimetric-type inequality for electrostatic shell interactions for Dirac operators
- Weakly coupled bound state of 2-D Schrödinger operator with potential-measure
- Self-adjointness of two-dimensional Dirac operators on domains
- Klein's paradox and the relativistic point interaction
- Shell interactions for Dirac operators
- Welsh eigenvalues of radially periodic Schrödinger operators
- Schrödinger operators with singular interactions
- On the Aharonov-Bohm Hamiltonian
- Singular Schrödinger operators as limits of point interaction Hamiltonians
- Critical coupling constants and eigenvalue asymptotics of perturbed periodic Sturm-Liouville operators
- Spectral gaps of Dirac operators describing graphene quantum dots
- Aharonov and Bohm versus Welsh eigenvalues
- Klein's paradox and the relativistic \(\delta\)-shell interaction in \(\mathbb{R}^3\)
- On the spectral properties of Dirac operators with electrostatic \(\delta\)-shell interactions
- Curvature-induced bound states for a \(\delta\) interaction supported by a curve in \(\mathbb{R}^3\)
- On Dirac operators with electrostatic \(\delta \)-shell interactions of critical strength
- Two-dimensional Dirac operators with singular interactions supported on closed curves
- On Dirac operators in \(\mathbb{R}^3\) with electrostatic and Lorentz scalar \(\delta\)-shell interactions
- Quantum waveguides
- On the MIT bag model in the non-relativistic limit
- A sharp upper bound on the spectral gap for graphene quantum dots
- On the dense point and absolutely continuous spectrum for Hamiltonians with concentric \(\delta\) shells
- Geometrically induced spectrum in curved leaky wires
- Resonances in a box
- On eigenvalue asymptotics for strong δ-interactions supported by surfaces with boundaries
- Schrödinger operators withδ-interactions supported on conical surfaces
- Asymptotics of the bound state induced by δ-interaction supported on a weakly deformed plane
- Discrete spectrum of interactions concentrated near conical surfaces
- On the bound states of Schrödinger operators with δ-interactions on conical surfaces
- Spectral optimization for singular Schrödinger operators
- Gap asymptotics in a weakly bent leaky quantum wire
- Dirac operators with a spherically symmetric δ-shell interaction
- Leaky Quantum Graphs: A Review
- Aharonov–Bohm effect with δ-type interaction
- Leaky quantum graphs: approximations by point-interaction Hamiltonians
- Bound states due to a strong interaction supported by a curved surface
- Approximation of Schrödinger operators with δ-interactions supported on hypersurfaces
- Strong Coupling Asymptotics for a Singular Schrödinger Operator with an Interaction Supported by an Open Arc
- Convergence of Schrödinger Operators
- Spectra of soft ring graphs
- Scattering by local deformations of a straight leaky wire
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