English

Regularization of Kepler Problem in $\kappa$-spacetime

Mathematical Physics 2016-11-23 v2 General Relativity and Quantum Cosmology High Energy Physics - Theory math.MP

Abstract

In this paper we regularize the Kepler problem on κ\kappa-spacetime in several different ways. First, we perform a Moser-type regularization and then we proceed for the Ligon-Schaaf regularization to our problem. In particular, generalizing Heckman-de Laat (J. Symplectic Geom. 10, (2012), 463-473) in the noncommutative context we show that the Ligon-Schaaf regularization map follows from an adaptation of the Moser regularization can be generalized to the Kepler problem on κ\kappa-spacetime.

Cite

@article{arxiv.1604.07932,
  title  = {Regularization of Kepler Problem in $\kappa$-spacetime},
  author = {Partha Guha and E. Harikumar and Zuhair N. S},
  journal= {arXiv preprint arXiv:1604.07932},
  year   = {2016}
}

Comments

18 pages,references added

R2 v1 2026-06-22T13:41:57.613Z