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arXiv · 1404.6321

MICZ Kepler Systems in Noncommutative Space and Duality of Force Laws

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

In this paper, we analyze the modification of integrable models in the $\kappa$-deformed space-time. We show that two dimensional isotropic oscillator problem, Kepler problem and MICZ-Kepler problem in $\kappa$-deformed space-time admit integrals of motion as in the commutative space. We also show that the duality equivalence between $\kappa$-deformed Kepler problem and $\kappa$-deformed two-dimensional isotropic oscillator explicitly, by deriving Bohlin-Sundman transformation which maps these two systems. These results are valid to all orders the the deformation parameter.

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Partha Guha, E. Harikumar, N. S. Zuhair. 2014-04-25. MICZ Kepler Systems in Noncommutative Space and Duality of Force Laws. https://doi.org/10.1142/s0217751x14501875

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