Kepler problem in deformed (quantum) four-dimensional space in non relativistic limit with Galilei group of motion

TL;DR

This paper demonstrates that the Kepler problem in a deformed quantum four-dimensional space remains integrable in the non-relativistic limit, with the symmetry group reducing to the Galilei group.

Contribution

It shows the integrability of the Kepler problem in deformed quantum space and clarifies the symmetry group in the non-relativistic limit.

Findings

Kepler problem is integrable in deformed quantum space

Group of motion reduces to Galilei group in non-relativistic limit

Space deformation does not break integrability

Abstract

It is shown that Kepler problem in deformed (quantum) four-dimensional space in non relativistic limit is integrable in quadratures. In non relativistic limit group of motion of quantum space coincide with Galilei one.