Superintegrable deformations of superintegrable systems: Quadratic superintegrability and higher-order superintegrability (Q5250081)

scientific article; zbMATH DE number 6436141

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English	Superintegrable deformations of superintegrable systems: Quadratic superintegrability and higher-order superintegrability	scientific article; zbMATH DE number 6436141

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title

Superintegrable deformations of superintegrable systems: Quadratic superintegrability and higher-order superintegrability (English)

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zbMATH Open document ID

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Journal of Mathematical Physics

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publication date

15 May 2015

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full work available at URL

https://arxiv.org/abs/1504.04293

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http://zaguan.unizar.es/record/75574

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Mathematics Subject Classification ID

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MaRDI publication profile

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Superintegrability in three-dimensional Euclidean space

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Superintegrable n=2 systems, quadratic constants of motion, and potentials of Drach

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The Drach superintegrable systems

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Complex Euclidean super-integrable potentials, potentials of Drach, and potential of Holt

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Superposition of super-integrable pseudo-Euclidean potentials in N = 2 with a fundamental constant of motion of arbitrary order in the momenta

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Q4528222

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Superintegrable systems on the two-dimensional sphere S2 and the hyperbolic plane H2

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Completeness of superintegrability in two-dimensional constant-curvature spaces

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Superintegrability in a two-dimensional space of nonconstant curvature

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Maximal superintegrability onN-dimensional curved spaces

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The anisotropic oscillator on the 2D sphere and the hyperbolic plane

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Superintegrable systems on spaces of constant curvature

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Classical and quantum superintegrability with applications

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On the superintegrability of Calogero-Moser-Sutherland model

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Superintegrability of the Calogero–Moser system: Constants of motion, master symmetries, and time-dependent symmetries

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Superintegrability of the caged anisotropic oscillator

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A new proof of the higher-order superintegrability of a noncentral oscillator with inversely quadratic nonlinearities

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An infinite family of solvable and integrable quantum systems on a plane

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Periodic orbits for an infinite family of classical superintegrable systems

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Superintegrability of the Tremblay–Turbiner–Winternitz quantum Hamiltonians on a plane for oddk

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{\cal N}=2 supersymmetric extension of the Tremblay–Turbiner–Winternitz Hamiltonians on a plane

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Superintegrability and higher order integrals for quantum systems

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Necessary conditions for classical super-integrability of a certain family of potentials in constant curvature spaces

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A new approach to the higher order superintegrability of the Tremblay–Turbiner–Winternitz system

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Infinite families of superintegrable systems separable in subgroup coordinates

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On the superintegrability of TTW model

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Integrable generalizations of oscillator and Coulomb systems via action-angle variables

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Families of superintegrable Hamiltonians constructed from exceptional polynomials

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A unified approach to quantum and classical TTW systems based on factorizations

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The Tremblay–Turbiner–Winternitz system on spherical and hyperbolic spaces: superintegrability, curvature-dependent formalism and complex factorization

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An infinite family of superintegrable deformations of the Coulomb potential

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Higher order superintegrability of separable potentials with a new approach to the Post–Winternitz system

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A maximally superintegrable system on an \(n\)-dimensional space of nonconstant curvature

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Quantum mechanics on spaces of nonconstant curvature: the oscillator problem and superintegrability

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On two superintegrable nonlinear oscillators in \(N\) dimensions

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Superintegrable oscillator and Kepler systems on spaces of nonconstant curvature via the Stäckel transform

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On a unique nonlinear oscillator

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On the nonlocal symmetries of certain nonlinear oscillators and their general solution

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Jacobi multipliers, non-local symmetries, and nonlinear oscillators

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A non-linear oscillator with quasi-harmonic behaviour: two- andn-dimensional oscillators

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A quantum exactly solvable nonlinear oscillator with quasi-harmonic behaviour

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The quantum harmonic oscillator on the sphere and the hyperbolic plane

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The harmonic oscillator on three-dimensional spherical and hyperbolic spaces: Curvature dependent formalism and quantization

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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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Central potentials on spaces of constant curvature: The Kepler problem on the two-dimensional sphere S2 and the hyperbolic plane H2

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Superintegrability on curved spaces, orbits and momentum hodographs: revisiting a classical result by Hamilton

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Coupling constant metamorphosis andNth-order symmetries in classical and quantum mechanics

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Mathematics(1 entry)

mardi Publication:5250081