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arXiv · 1504.01897

Fradkin-Bacry-Ruegg-Souriau vector in kappa-deformed space-time

Partha Guha·E. Harikumar·Zuhair N. S
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Abstract

We study presence of an additional symmetry of a generic central potential in the $\kappa$-space-time. An explicit construction of Fradkin and Bacry, Ruegg, Souriau (FBRS) for a central potential is carried out and the piece-wise conserved nature of the vector is established. We also extend the study to Kepler systems with a drag term, particularly Gorringe-Leach equation is generalized to the $\kappa$-deformed space. The possibility of mapping Gorringe-Leach equation to an equation with out drag term is exploited in associating a similar conserved vector to system with a drag term. An extension of duality between two class of central potential is introduced in the $\kappa$-deformed space and is used to investigate the duality existing between two class of Gorringe-Leach equations. All the results obtained can be retraced to the correct commutative limit as we let $a \rightarrow 0$.

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Partha Guha, E. Harikumar, Zuhair N. S. 2015-04-08. Fradkin-Bacry-Ruegg-Souriau vector in kappa-deformed space-time. https://arxiv.org/abs/1504.01897

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