Classical Integrable 2-dim Models Inspired by SUSY Quantum Mechanics

Andrianov, A. A.; Ioffe, M. V.; Nishnianidze, D. N.

Classical Integrable 2-dim Models Inspired by SUSY Quantum Mechanics

Authors

Andrianov, A. A.

Ioffe, M. V.

Nishnianidze, D. N.

Description

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.
19 pages, LaTeX, final version to be published in J.Phys.A