Deformed shape invariance symmetry and potentials in curved space with two known eigenstates (Q4639357)

scientific article; zbMATH DE number 6867268

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English	Deformed shape invariance symmetry and potentials in curved space with two known eigenstates	scientific article; zbMATH DE number 6867268

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instance of

scholarly article

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title

Deformed shape invariance symmetry and potentials in curved space with two known eigenstates (English)

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published in

Journal of Mathematical Physics

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publication date

9 May 2018

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full work available at URL

https://arxiv.org/abs/1712.00329

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author

Christiane Quesne

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MaRDI profile type

MaRDI publication profile

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cites work

On a unique nonlinear oscillator

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A non-linear oscillator with quasi-harmonic behaviour: two- and<i>n</i>-dimensional oscillators

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One-dimensional model of a quantum nonlinear harmonic oscillator

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A quantum exactly solvable nonlinear oscillator with quasi-harmonic behaviour

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Special function solutions of a spectral problem for a nonlinear quantum oscillator

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The quantum harmonic oscillator on the sphere and the hyperbolic plane

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An update on the classical and quantum harmonic oscillators on the sphere and the hyperbolic plane in polar coordinates

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Curvature-dependent formalism, Schrödinger equation and energy levels for the harmonic oscillator on three-dimensional spherical and hyperbolic spaces

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Quantum oscillator and Kepler–Coulomb problems in curved spaces: Deformed shape invariance, point canonical transformations, and rational extensions

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Extended Krein-Adler theorem for the translationally shape invariant potentials

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Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem

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Deformed shape invariance and exactly solvable Hamiltonians with position-dependent effective mass

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Families of quasi-exactly solvable extensions of the quantum oscillator in curved spaces

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Quasi-exactly-solvable problems and sl(2) algebra

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Q4846457

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Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators

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One-dimensional quasi-exactly solvable Schrödinger equations

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Q4857337

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Q4747353

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Prepotential approach to exact and quasi-exact solvabilities

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Exact polynomial solutions of second order differential equations and their applications

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Methods for generating quasi-exactly solvable potentials

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ON QUASI-EXACTLY SOLVABLE PROBLEMS AND SUPERSYMMETRY

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Energy eigenvalues of a quantum anharmonic oscillator from supersymmetry: the concept of conditional shape-invariance symmetry

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Quasi-exactly solvable potentials with two known eigenstates

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Supersymmetric approach for generating quasi-exactly solvable potentials with arbitrary two known eigenstates

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Quasi-exactly solvable potentials with three known eigenstates

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Ordering ambiguity revisited via position dependent mass pseudo-momentum operators

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Identifiers

zbMATH Open document ID

1386.81069

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DOI

10.1063/1.5017809

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4639357