Two body systems from sl(2,C)-tops
Dynamical Systems
2007-11-16 v1
Abstract
It is shown that sl(2,) Euler-Arnold tops are equivalent to the two-body systems of Calogero-Moser type. We prove that generic Hamiltonians of sl(2,) tops are equivalent to one of three canonical Hamiltonians. For all canonical Hamiltonians the corresponding two-body system is found. Bosonisation formulas for each case are obtained explicitly. Relations with Antonov-Zabrodin-Hasegawa R-matrix are discussed.
Cite
@article{arxiv.0711.2432,
title = {Two body systems from sl(2,C)-tops},
author = {Smirnov Andrey},
journal= {arXiv preprint arXiv:0711.2432},
year = {2007}
}
Comments
9 pages