The quantum free particle on spherical and hyperbolic spaces: a curvature dependent approach. II (Q2872291)

scientific article; zbMATH DE number 6245376

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English	The quantum free particle on spherical and hyperbolic spaces: a curvature dependent approach. II	scientific article; zbMATH DE number 6245376

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instance of

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Journal of Mathematical Physics

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publication date

14 January 2014

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full work available at URL

https://arxiv.org/abs/1211.2076

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MaRDI profile type

Publication

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cites work

The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach

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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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On a New Treatment of Some Eigenvalue Problems

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A Note on the Kepler Problem in a Space of Constant Negative Curvature

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Path integral treatment of the hydrogen atom in a curved space of constant curvature

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Path integral treatment of the hydrogen atom in a curved space of constant curvature. II. Hyperbolic space

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The quantum oscillator on complex projective space (Lobachewski space) in a constant magnetic field and the issue of generic boundary conditions

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Dynamical symmetries in a spherical geometry. I

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Dynamical symmetries in a spherical geometry. II

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A theorem for a class of motions in a spherical geometry

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Coulomb-oscillator duality in spaces of constant curvature

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Bertrand systems on spaces of constant sectional curvature. The action-angle analysis

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On harmonic oscillators on the two-dimensional sphere S2 and the hyperbolic plane H2

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On harmonic oscillators on the two-dimensional sphere S2 and the hyperbolic plane H2. II.

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Maximal superintegrability onN-dimensional curved spaces

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Motion on the sphere: integrability and families of orbits

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The restricted two-body problem in constant curvature spaces

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Superintegrable quantum u(3) systems and higher rank factorizations

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

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The harmonic oscillator on Riemannian and Lorentzian configuration spaces of constant curvature

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Classical and quantum integrability in 3D systems

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Maximal superintegrability of the generalized Kepler–Coulomb system onN-dimensional curved spaces

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

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A study of the orthogonal polynomials associated with the quantum harmonic oscillator on constant curvature spaces

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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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title

The quantum free particle on spherical and hyperbolic spaces: a curvature dependent approach. II (English)

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Identifiers

zbMATH Open document ID

1278.81092

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DOI

10.1063/1.4757604

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2872291