English

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

solv-int 2009-10-30 v1 High Energy Physics - Theory Exactly Solvable and Integrable Systems

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.

Keywords

Cite

@article{arxiv.solv-int/9609003,
  title  = {Quasi-point separation of variables for the Henon-Heiles system and a system with quartic potential},
  author = {S. Rauch-Wojciechowski and A. V. Tsiganov},
  journal= {arXiv preprint arXiv:solv-int/9609003},
  year   = {2009}
}

Comments

11 pages, Latex