The Kepler problem in the Snyder space

Abstract

In this paper we study the Kepler problem in the non commutative Snyder scenario. We characterize the deformations in the Poisson bracket algebra under a mimic procedure from quantum standard formulations and taking into account a general recipe to build the noncommutative phase space coordinates (in the sense of Poisson brackets). We obtain an expression to the deformed potential, and then the consequences in the precession of the orbit of Mercury are calculated. This result allows us to find an estimated value for the non commutative deformation parameter introduced.

References in corpus (2)

• Symmetries of Snyder--de Sitter space and relativistic particle dynamics
• $\kappa$-Minkowski and Snyder algebra from reparametrisation symmetry

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• Snyder Like Modified Gravity in Newton's Spacetime
• Some features of a Schwarzchild Black Hole from a Snyder perspective
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• Noncommutative Classical Dynamics on Velocity Phase Space and Souriau Formalism