Classical Integrable 2-dim Models Inspired by SUSY Quantum Mechanics

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.

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

References in corpus (1)

• Matrix Hamiltonians: SUSY approach to hidden symmetries

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