Regularization of energy-dependent pointlike interactions in 1D quantum mechanics (Q5874185)

scientific article; zbMATH DE number 7650791

Language	Label	Description	Also known as
English	Regularization of energy-dependent pointlike interactions in 1D quantum mechanics	scientific article; zbMATH DE number 7650791

Statements

instance of

scholarly article

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title

Regularization of energy-dependent pointlike interactions in 1D quantum mechanics (English)

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author

Etienne Granet

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published in

Journal of Physics A: Mathematical and Theoretical

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publication date

7 February 2023

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full work available at URL

https://arxiv.org/abs/2205.10924

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zbMATH Keywords

regularization

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pointlike interaction

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1D quantum mechanics

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MaRDI profile type

MaRDI publication profile

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cites work

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The fermionic limit of the -function Bose gas: a pseudopotential approach

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

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Finite rank singular perturbations and distributions with discontinuous test functions

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

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Symmetries of Schrödinger operators with point interactions

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Generalized point interactions in one-dimensional quantum mechanics

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Four-parameter point-interaction in 1D quantum systems

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The regulated four-parameter one-dimensional point interaction

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Approximation of general zero-range potentials

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Self-adjoint extensions in quantum mechanics. General theory and applications to Schrödinger and Dirac equations with singular potentials.

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Q3994511

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Quasi-Hermitian operators in quantum mechanics and the variational principle

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Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum

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PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS

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Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry

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Exact<i>PT</i>-symmetry is equivalent to Hermiticity

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A non-Hermitian Hamilton operator and the physics of open quantum systems

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Boundary conditions at the derivative of a delta function

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Energy-dependent point interactions in one dimension

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Distribution theory for Schrödinger’s integral equation

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Schrödinger operators with distributional potentials and boundary conditions dependent on the eigenvalue parameter

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A Riesz basis criterion for Schrödinger operators with boundary conditions dependent on the eigenvalue parameter

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Relationship between Systems of Impenetrable Bosons and Fermions in One Dimension

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Orthogonality and completeness of the Bethe Ansatz eigenstates of the nonlinear Schrödinger model

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Identifiers

Mathematics Subject Classification ID

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10.1088/1751-8121/AC971C

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Sitelinks

Mathematics(1 entry)

mardi Publication:5874185