MICZ-Kepler systems in noncommutative space and duality of force laws

Partha Guha, E. Harikumar, N. S. Zuhair

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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

Original languageBritish English
Article number1450187
JournalInternational Journal of Modern Physics A
Issue number32
StatePublished - 30 Dec 2014


  • Bohlin-Sundman transformation
  • central forces
  • Kappa-space-time


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