The kepler problem in the snyder space

Carlos Leiva, Joel Saavedra, J. R. Villanueva

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

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 noncommutative 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.

Original languageEnglish
Pages (from-to)945-951
Number of pages7
JournalPramana - Journal of Physics
Volume80
Issue number6
DOIs
StatePublished - Jun 2013
Externally publishedYes

Keywords

  • Kepler problem
  • Non-commutativity
  • Snyder space

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