Classification of integrable quadratic Hamiltonians on e(3)
Exactly Solvable and Integrable Systems
2015-06-26 v1 Mathematical Physics
math.MP
Abstract
Linear Poisson brackets on e(3) typical of rigid body dynamics are considered. All quadratic Hamiltonians of Kowalevski type having additional first integral of fourth degree are found. Quantum analogs of these Hamiltonians are listed.
Cite
@article{arxiv.nlin/0302001,
title = {Classification of integrable quadratic Hamiltonians on e(3)},
author = {Thomas Wolf and Olya V. Efimovskaya},
journal= {arXiv preprint arXiv:nlin/0302001},
year = {2015}
}
Comments
11 pages