Factorization approach to superintegrable systems: Formalism and applications

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Ballesteros A., Herranz F. J., KURU Ş., Negro J.

PHYSICS OF ATOMIC NUCLEI, vol.80, no.2, pp.389-396, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 80 Issue: 2
  • Publication Date: 2017
  • Doi Number: 10.1134/s1063778817020053
  • Journal Name: PHYSICS OF ATOMIC NUCLEI
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.389-396
  • Ankara University Affiliated: Yes

Abstract

The factorization technique for superintegrable Hamiltonian systems is revisited and applied in order to obtain additional (higher-order) constants of the motion. In particular, the factorization approach to the classical anisotropic oscillator on the Euclidean plane is reviewed, and new classical (super) integrable anisotropic oscillators on the sphere are constructed. The Tremblay-Turbiner-Winternitz system on the Euclidean plane is also studied from this viewpoint.