κ-deformed bohlin-sundman transformation

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 themodification of corresponding integrals ofmotion 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.