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The Kepler problem in the Snyder space

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Abstract

In this paper the Kepler problem in the non-commutative Snyder scenario was studied. The deformations were characterized in the Poisson bracket algebra under a mimic procedure from quantum standard formulations by taking into account a general recipe to build the non-commutative phase space coordinates (in the sense of Poisson brackets). An expression for the deformed potential was obtained, and then the consequences in the precession of the orbit of Mercury were calculated. The result could be used for finding an estimated value for the non-commutative deformation parameter.

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Acknowledgements

C L was supported by Universidad de Tarapacá Grant 4723-11. J R V was supported by Universidad de Tarapacá Grant 4720-11. J S was supported by COMISION NACIONAL DE CIENCIAS Y TECNOLOGIA through FONDECYT Grant 1110076, 1090613 and 1110230. This work was also partially supported by PUCV DI-123.713/2011.

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Authors and Affiliations

  1. Departamento de Física, Universidad de Tarapacá, Casilla 7-D, Arica, Chile

    CARLOS LEIVA

  2. Instituto de Física, Pontificia Universidad de Católica de Valparaíso, Av. Universidad 330, Curauma, Valparaíso, Chile

    JOEL SAAVEDRA

  3. Departamento de Física y Astronomía, Universidad de Valparaíso, Gran Bretaña 1111, Playa Ancha, Valparaíso, Chile

    J R VILLANUEVA

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  1. CARLOS LEIVA
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  2. JOEL SAAVEDRA
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  3. J R VILLANUEVA
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Correspondence to JOEL SAAVEDRA.

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LEIVA, C., SAAVEDRA, J. & VILLANUEVA, J.R. The Kepler problem in the Snyder space. Pramana - J Phys 80, 945–951 (2013). https://doi.org/10.1007/s12043-013-0540-5

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  • DOI: https://doi.org/10.1007/s12043-013-0540-5

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