Kowalevski top revisited
Exactly Solvable and Integrable Systems
2007-05-23 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We review the separation of variables for the Kowalevski top and for its generalization to the algebra o(4). We notice that the corresponding separation equations allow an interpretation of the Kowalevski top as a B2 integrable lattice. Consequently, we apply the quadratic r-matrix formalism to construct a new 2x2 Lax matrix for the top, which is responsible for its separation of variables.
Keywords
Cite
@article{arxiv.nlin/0110012,
title = {Kowalevski top revisited},
author = {Vadim B. Kuznetsov},
journal= {arXiv preprint arXiv:nlin/0110012},
year = {2007}
}
Comments
18 pages, corrected a typo in the formulas (69)