Classical Integrable 2-dim Models Inspired by SUSY Quantum Mechanics

Details Classical Integrable 2-dim Models Inspired by SUSY Quantum Mechanics Classical Integrable 2-dim Models Inspired by SUSY Quantum Mechanics

1998-10-08

arxiv.org/abs/solv-int/9810006v2

J.Phys.A32:4641,1999

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/0305-4470/32/25/307

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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