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Leaky quantum structures (Q2227087)

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scientific article

Language	Label	Description	Also known as
English	Leaky quantum structures	scientific article

Statements

scholarly article

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Leaky quantum structures (English)

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zbMATH Open document ID

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10.1134/S0081543820060073

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Proceedings of the Steklov Institute of Mathematics

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publication date

9 February 2021

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

singular Schrödinger operators

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codimension 1 manifolds

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spectral properties

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asymptotic expansions

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Dirac operators

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MaRDI profile type

MaRDI publication profile

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On the Aharonov-Bohm Hamiltonian

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On the MIT bag model in the non-relativistic limit

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Shell interactions for Dirac operators

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An isoperimetric-type inequality for electrostatic shell interactions for Dirac operators

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Approximation of Schrödinger operators with δ-interactions supported on hypersurfaces

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On the spectral properties of Dirac operators with electrostatic \(\delta\)-shell interactions

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On Dirac operators in \(\mathbb{R}^3\) with electrostatic and Lorentz scalar \(\delta\)-shell interactions

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Schrödinger operators with δ- and δ′-interactions on Lipschitz surfaces and chromatic numbers of associated partitions

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Schrödinger operators with<i>δ</i>-interactions supported on conical surfaces

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On Dirac operators with electrostatic \(\delta \)-shell interactions of critical strength

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Two-dimensional Dirac operators with singular interactions supported on closed curves

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Self-adjointness of two-dimensional Dirac operators on domains

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Spectral gaps of Dirac operators describing graphene quantum dots

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Schrödinger operators with singular interactions

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Singular Schrödinger operators as limits of point interaction Hamiltonians

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Convergence of Schrödinger Operators

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Welsh eigenvalues of radially periodic Schrödinger operators

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Aharonov–Bohm effect with δ-type interaction

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On eigenvalue asymptotics for strong δ-interactions supported by surfaces with boundaries

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Dirac operators with a spherically symmetric δ-shell interaction

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Leaky Quantum Graphs: A Review

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Spectral optimization for singular Schrödinger operators

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On the dense point and absolutely continuous spectrum for Hamiltonians with concentric \(\delta\) shells

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Geometrically induced spectrum in curved leaky wires

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Curvature-induced bound states for a \(\delta\) interaction supported by a curve in \(\mathbb{R}^3\)

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Bound states due to a strong interaction supported by a curved surface

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Scattering by local deformations of a straight leaky wire

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Gap asymptotics in a weakly bent leaky quantum wire

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Aharonov and Bohm versus Welsh eigenvalues

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Asymptotics of the bound state induced by <i>δ</i>-interaction supported on a weakly deformed plane

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Quantum waveguides

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Leaky quantum graphs: approximations by point-interaction Hamiltonians

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Strong Coupling Asymptotics for a Singular Schrödinger Operator with an Interaction Supported by an Open Arc

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Spectra of soft ring graphs

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Resonances in a box

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Weakly coupled bound state of 2-D Schrödinger operator with potential-measure

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On the bound states of Schrödinger operators with δ-interactions on conical surfaces

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A sharp upper bound on the spectral gap for graphene quantum dots

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Klein's paradox and the relativistic \(\delta\)-shell interaction in \(\mathbb{R}^3\)

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Discrete spectrum of interactions concentrated near conical surfaces

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Critical coupling constants and eigenvalue asymptotics of perturbed periodic Sturm-Liouville operators

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Klein's paradox and the relativistic point interaction

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full work available at URL

https://doi.org/10.1134/s0081543820060073

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Sitelinks

Mathematics(1 entry)

mardi Publication:2227087

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