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Classical Integrable 2-dim Models Inspired by SUSY Quantum Mechanics

A. A. Andrianov·M. V. Ioffe·D. N. Nishnianidze
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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.

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A. A. Andrianov, M. V. Ioffe, D. N. Nishnianidze. 1999-04-29. Classical Integrable 2-dim Models Inspired by SUSY Quantum Mechanics. https://doi.org/10.1088/0305-4470%2F32%2F25%2F307

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