Classical Integrable 2-dim Models Inspired by SUSY Quantum Mechanics
solv-int
2008-11-26 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Quantum Physics
Abstract
A class of integrable 2-dim classical systems with integrals of motion of fourth order in momenta is obtained from the quantum analogues with the help of deformed SUSY algebra. With similar technique a new class of potentials connected with Lax method is found which provides the integrability of corresponding 2-dim hamiltonian systems. In addition, some integrable 2-dim systems with potentials expressed in elliptic functions are explored.
Cite
@article{arxiv.solv-int/9810006,
title = {Classical Integrable 2-dim Models Inspired by SUSY Quantum Mechanics},
author = {A. A. Andrianov and M. V. Ioffe and D. N. Nishnianidze},
journal= {arXiv preprint arXiv:solv-int/9810006},
year = {2008}
}
Comments
19 pages, LaTeX, final version to be published in J.Phys.A