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

Abstract

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.

11 pages, Latex

References in corpus (2)

• Polynomial SUSY in Quantum Mechanics and Second Derivative Darboux Transformation
• Integrable Quartic Potentials and Coupled KdV Equations

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