The physical interpretation of point interactions in one-dimensional relativistic quantum mechanics (Q6151020)

scientific article; zbMATH DE number 7814456

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English	The physical interpretation of point interactions in one-dimensional relativistic quantum mechanics	scientific article; zbMATH DE number 7814456

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instance of

scholarly article

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title

The physical interpretation of point interactions in one-dimensional relativistic quantum mechanics (English)

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Journal of Physics A: Mathematical and Theoretical

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publication date

7 March 2024

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zbMATH Keywords

Dirac equation with point interactions

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delta interaction

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gauge transformations

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1088/1751-8121/ad280e

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cites work

The regulated four-parameter one-dimensional point interaction

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Resonant tunnelling through short-range singular potentials

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Non-relativistic and relativistic scattering by short-range potentials

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Controllable resonant tunnelling through single-point potentials: a point triode

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Boundary conditions for the states with resonant tunnelling across the $\delta'$-potential

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Relativistic point interactions: Approximation by smooth potentials

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Approximation of general zero-range potentials

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

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Approximation of one-dimensional relativistic point interactions by regular potentials revised

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

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Four-parameter point-interaction in 1D quantum systems

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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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Many-body system with a four-parameter family of point interactions in one dimension

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

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Quantization of fermions interacting with point-like external fields

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Klein's paradox and the relativistic point interaction

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Relativistic point interaction

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General boundary conditions for a Dirac particle in a box and their non-relativistic limits

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Delta-type Dirac point interactions and their nonrelativistic limits.

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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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Spectral analysis of Dirac operators with delta interactions supported on the boundaries of rough domains

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Spectral properties of the Dirac operator coupled with $\delta$-shell interactions

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General $\delta$-shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation

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Causal construction of the massless vertex diagram

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One-dimensional Schrödinger operators with singular potentials: a Schwartz distributional formulation

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Q3785402

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The Casimir effect for fermions in one dimension.

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A delta well with a mass jump

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Mass-jump and mass-bump boundary conditions for singular self-adjoint extensions of the Schrödinger operator in one dimension

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Q5724171

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Sur la valeur et la limite d'une distribution en un point

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Distributionally regulated functions

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A free particle on a circle with point interaction

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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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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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Symmetries of Schrödinger operators with point interactions

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Classical and quantum space splitting: the one-dimensional hydrogen atom

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Identifiers

DOI

10.1088/1751-8121/ad280e

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6151020