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Fradkin-Bacry-Ruegg-Souriau vector in kappa-deformed space-time | | Partha Guha
; E. Harikumar
; Zuhair N. S
; | | Date: |
8 Apr 2015 | | 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 $a
ightarrow 0$. | | Source: | arXiv, 1504.1897 | | Services: | Forum | Review | PDF | Favorites | |
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