Abstract

We analyze the modifications to integrable models in kappa space-time. Specific examples such as Kepler potential and two-dimensional isotropic oscillator are studied and the modification of corresponding integrals of motion in the deformed space-time are investigated. We also examine the duality between two-dimensional isotropic oscillator and Kepler potential in kappa-deformed space-time by extending the Bohlin-Sundman transformation to the non-commutative case.

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