Classical Integrable 2-dim Models Inspired by SUSY Quantum Mechanics
solv-int
2008-11-26 v2 高能物理 - 理论
数学物理
math.MP
可精确求解与可积系统
量子物理
摘要
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.
引用
@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}
}
备注
19 pages, LaTeX, final version to be published in J.Phys.A