Systematic construction of separable systems with quadratic in momenta first integrals
Exactly Solvable and Integrable Systems
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
Liouville integrable separable systems with quadratic in momenta first integrals are considered. Particular attention is paid to the systems generated by the so-called special conformal Killing tensors, i.e. Benenti systems. Then, infinitely many new classes of separable systems are constructed by appropriate deformations of Benenti class systems.
Keywords
Cite
@article{arxiv.nlin/0309044,
title = {Systematic construction of separable systems with quadratic in momenta first integrals},
author = {Maciej Blaszak},
journal= {arXiv preprint arXiv:nlin/0309044},
year = {2007}
}
Comments
12 pages, Symmetry in Nonlinear Mathematical Physics, June 23-29, 2003 Kyiev