Classical integrable two-dimensional models inspired by SUSY quantum mechanics
Oct, 1998
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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.Note:
- 19 pages, LaTeX, final version to be published in J.Phys.A Subj-class: Exactly Solvable and Integrable Systems; Mathematical Physics Journal-ref: J. Phys. A, 32 (1999) 4641
- quantum mechanics
- supersymmetry
- dimension: 2
- integrability
- potential
- operator: differential
- derivative: high
- Hamiltonian formalism
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