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arxiv: solv-int/9609003 · v1 · submitted 1996-09-13 · solv-int · hep-th· nlin.SI

Quasi-point separation of variables for the Henon-Heiles system and a system with quartic potential

classification solv-int hep-thnlin.SI
keywords separationvariablessystemtwo-dimensionalapproachcertainconstructioncoordinate
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We examine the problem of integrability of two-dimensional Hamiltonian systems by means of separation of variables. The systematic approach to construction of the special non-pure coordinate separation of variables for certain natural two-dimensional Hamiltonians is presented. The relations with SUSY quantum mechanics are discussed.

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