New ladder operators for a rational extension of the harmonic oscillator and superintegrability of some two-dimensional systems (Q5410919)

scientific article; zbMATH DE number 6286829

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English	New ladder operators for a rational extension of the harmonic oscillator and superintegrability of some two-dimensional systems	scientific article; zbMATH DE number 6286829

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instance of

scholarly article

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title

New ladder operators for a rational extension of the harmonic oscillator and superintegrability of some two-dimensional systems (English)

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Journal of Mathematical Physics

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publication date

17 April 2014

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full work available at URL

https://arxiv.org/abs/1303.7150

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https://espace.library.uq.edu.au/view/UQ:318222/UQ318222_fulltext.pdf

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MaRDI publication profile

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cites work

Conditionally exactly solvable potentials: A supersymmetric construction method

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Higher-order SUSY, linearized nonlinear Heisenberg algebras and coherent states

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Supersymmetric quantum mechanics and Painlevé IV equation

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Equidistant spectra of anharmonic oscillators

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Conditionally exactly solvable problems and nonlinear algebras.

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The Darboux transformation and algebraic deformations of shape-invariant potentials

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A quantum exactly solvable nonlinear oscillator related to the isotonic oscillator

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Factorization solution of a family of quantum nonlinear oscillators

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An extended class of orthogonal polynomials defined by a Sturm-Liouville problem

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Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry

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Solvable rational potentials and exceptional orthogonal polynomials in supersymmetric quantum mechanics

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Solvable rational extensions of the isotonic oscillator

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Prepotential Approach to Solvable Rational Potentials and Exceptional Orthogonal Polynomials

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Two-step Darboux transformations and exceptional Laguerre polynomials

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RATIONALLY-EXTENDED RADIAL OSCILLATORS AND LAGUERRE EXCEPTIONAL ORTHOGONAL POLYNOMIALS IN kTH-ORDER SUSYQM

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Multistep DBT and regular rational extensions of the isotonic oscillator

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Solvable rational extensions of the Morse and Kepler-Coulomb potentials

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Prepotential approach to solvable rational extensions of Harmonic Oscillator and Morse potentials

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Polynomial Heisenberg algebras

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Third-order differential ladder operators and supersymmetric quantum mechanics

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Superintegrable systems in Darboux spaces

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Second-order superintegrable systems in conformally flat spaces. V. Two- and three-dimensional quantum systems

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Unified treatment and classification of superintegrable systems with integrals quadratic in momenta on a two-dimensional manifold

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Superintegrability on \(N\)-dimensional curved spaces: central potentials, centrifugal terms and monopoles

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Superintegrability with third-order integrals in quantum and classical mechanics

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Hamiltonians separable in Cartesian coordinates and third-order integrals of motion

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Superintegrability with third order integrals of motion, cubic algebras, and supersymmetric quantum mechanics. I. Rational function potentials

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Superintegrability with third order integrals of motion, cubic algebras, and supersymmetric quantum mechanics. II. Painlevé transcendent potentials

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Superintegrability and higher order polynomial algebras

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A recurrence relation approach to higher order quantum superintegrability

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Two families of superintegrable and isospectral potentials in two dimensions

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Supersymmetry as a method of obtaining new superintegrable systems with higher order integrals of motion

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Families of superintegrable Hamiltonians constructed from exceptional polynomials

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New families of superintegrable systems from Hermite and Laguerre exceptional orthogonal polynomials

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Two-step rational extensions of the harmonic oscillator: exceptional orthogonal polynomials and ladder operators

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Dressing chains and the spectral theory of the Schrödinger operator

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Krein–Adler transformations for shape-invariant potentials and pseudo virtual states

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Extensions of solvable potentials with finitely many discrete eigenstates

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Identifiers

zbMATH Open document ID

1284.81147

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DOI

10.1063/1.4823771

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5410919