Conditions for realizing one-point interactions from a multi-layer structure model (Q5049664)

scientific article; zbMATH DE number 7615759

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English	Conditions for realizing one-point interactions from a multi-layer structure model	scientific article; zbMATH DE number 7615759

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instance of

scholarly article

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title

Conditions for realizing one-point interactions from a multi-layer structure model (English)

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Journal of Physics A: Mathematical and Theoretical

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publication date

11 November 2022

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full work available at URL

https://arxiv.org/abs/2112.08510

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zbMATH Keywords

one-dimensional quantum systems

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multi-layer heterostructures

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point interactions

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resonance sets

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MaRDI profile type

MaRDI publication profile

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cites work

Q3160268

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Q4938042

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Some remarks on the $\delta$ '-interaction in one dimension

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Norm resolvent convergence of singularly scaled Schrödinger operators and δ′-potentials

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On δ′-like potential scattering on star graphs

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Schrödinger operators on star graphs with singularly scaled potentials supported near the vertices

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Approximations of quantum-graph vertex couplings by singularly scaled potentials

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Transmission–reflection problem with a potential of the form of the derivative of the delta function

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On the existence of resonances in the transmission probability for interactions arising from derivatives of Dirac s delta function

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Scattering properties of point dipole interactions

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Controlling a resonant transmission across the δ′-potential: the inverse problem

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Schroedinger operators with (\alpha\delta'+\beta \delta)-like potentials: norm resolvent convergence and solvable models

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1D Schrödinger operators with short range interactions: two-scale regularization of distributional potentials

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Bound states and scattering coefficients of the $-a\delta(x)+b{\delta}'(x)$ potential

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Two-point one-dimensional<i>δ</i>-${\delta }^{\prime }$ interactions: non-abelian addition law and decoupling limit

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One dimensional models with a singular potential of the type $-\alpha \delta (x)+\beta \delta^{\prime}(x)$

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The infinite square well with a point interaction: a discussion on the different parameterizations

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Symmetries of Schrödinger operators with point interactions

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Schrödinger operators with nonlocal point interactions

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Potential theory, path integrals and the Laplacian of the indicator

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Q2850442

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Q5395850

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Distribution theory for Schrödinger’s integral equation

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Two-parametric ${\delta'}$ -interactions: approximation by Schrödinger operators with localized rank-two perturbations

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Potential approximations to $\delta'$: an inverse Klauder phenomenon with norm-resolvent convergence.

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A remarkable spectral feature of the Schrödinger Hamiltonian of the harmonic oscillator perturbed by an attractive δ′-interaction centred at the origin: double degeneracy and level crossing

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The Hamiltonian of the harmonic oscillator with an attractive $\delta ^{\prime} $-interaction centred at the origin as approximated by the one with a triple of attractive $\delta $-interactions

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Distribution theory for discontinuous test functions and differential operators with generalized coefficients

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Generalized point interactions in one-dimensional quantum mechanics

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INTRINSIC RESONANT TUNNELING PROPERTIES OF THE ONE-DIMENSIONAL SCHRÖDINGER OPERATOR WITH A DELTA DERIVATIVE POTENTIAL

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Identifiers

zbMATH Open document ID

1505.81040

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DOI

10.1088/1751-8121/ac4a1f

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5049664