MARIANO
SANTANDER NAVARRO
Investigador en el periodo 1983-2023
José Fernando
Cariñena Marzo
Publicaciones en las que colabora con José Fernando Cariñena Marzo (31)
2021
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Superintegrability of three-dimensional Hamiltonian systems with conformally Euclidean metrics. Oscillator-related and Kepler-related systems
Journal of Physics A: Mathematical and Theoretical, Vol. 54, Núm. 10
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Superintegrability on the three-dimensional spaces with curvature. Oscillator-related and Kepler-related systems on the sphere S3 and on the hyperbolic space H3
Journal of Physics A: Mathematical and Theoretical, Vol. 54, Núm. 36
2019
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Killing vector fields and quantisation of natural hamiltonians
Springer Proceedings in Physics (Springer), pp. 121-145
2017
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Quantization of Hamiltonian systems with a position dependent mass: Killing vector fields and Noether momenta approach
Journal of Physics A: Mathematical and Theoretical, Vol. 50, Núm. 46
2016
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A new look at the Feynman 'hodograph' approach to the Kepler first law
European Journal of Physics, Vol. 37, Núm. 2
2012
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Curvature-dependent formalism, Schrödinger equation and energy levels for the harmonic oscillator on three-dimensional spherical and hyperbolic spaces
Journal of Physics A: Mathematical and Theoretical, Vol. 45, Núm. 26
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The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach. II
Journal of Mathematical Physics, Vol. 53, Núm. 10
2011
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The Harmonic Oscillator on Three-Dimensional Spherical and Hyperbolic Spaces: Curvature Dependent Formalism and Quantization
International Journal of Theoretical Physics, Vol. 50, Núm. 7, pp. 2170-2178
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The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach
Journal of Mathematical Physics, Vol. 52, Núm. 7
2008
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Quantization of a nonlinear oscillator as a model of the harmonic oscillator on spaces of constant curvature: One- and two-dimensional systems
Physics of Atomic Nuclei, Vol. 71, Núm. 5, pp. 836-843
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The harmonic oscillator on Riemannian and Lorentzian configuration spaces of constant curvature
Journal of Mathematical Physics, Vol. 49, Núm. 3
2007
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A quantum exactly solvable non-linear oscillator with quasi-harmonic behaviour
Annals of Physics, Vol. 322, Núm. 2, pp. 434-459
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A super-integrable two-dimensional non-linear oscillator with an exactly solvable quantum analog
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), Vol. 3
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The quantum harmonic oscillator on the sphere and the hyperbolic plane
Annals of Physics, Vol. 322, Núm. 10, pp. 2249-2278
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The quantum harmonic oscillator on the sphere and the hyperbolic plane: κ-dependent formalism, polar coordinates, and hypergeometric functions
Journal of Mathematical Physics, Vol. 48, Núm. 10
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Three superintegrable two-dimensional oscillators: Superintegrability, nonlinearity, and curvature
Physics of Atomic Nuclei, Vol. 70, Núm. 3, pp. 505-512
2005
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A nonlinear deformation of the isotonic oscillator and the Smorodinski-Winternitz system: Integrability and superintegrability
Regular and Chaotic Dynamics, Vol. 10, Núm. 4, pp. 423-436
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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
Journal of Mathematical Physics, Vol. 46, Núm. 5
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Comment on "central potentials on spaces of constant curvature: The Kepler problem on the two-dimensional sphere S 2 and the hyperbolic plane H 2" [J. Math. Phys. 46, 052702 (2005)]
Journal of Mathematical Physics
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Lagrangian formalism for nonlinear second-order Riccati systems: One-dimensional integrability and two-dimensional superintegrability
Journal of Mathematical Physics, Vol. 46, Núm. 6