Integrable potentials on Cayley-Klein spaces from quantum groups
Mathematical Physics
2015-06-08 v1 High Energy Physics - Theory
math.MP
Abstract
The family of (super)integrable potentials on spaces with curvature developed by A. Ballesteros et all is extend to all two-dimensional Cayley-Klein spaces with the help of contractions. It is shown that integrable systems on spaces with degenerate metrics are described by two Hamiltonians: one in the base and another in the fiber.
Cite
@article{arxiv.1506.01855,
title = {Integrable potentials on Cayley-Klein spaces from quantum groups},
author = {N. A. Gromov and V. V. Kuratov},
journal= {arXiv preprint arXiv:1506.01855},
year = {2015}
}
Comments
11 pages