Regularization of Kepler Problem in $κ$-spacetime
arXiv:1604.07932 · doi:10.1063/1.4966552
Abstract
In this paper we regularize the Kepler problem on $κ$-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 $κ$-spacetime.
18 pages,references added