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, cilt.80, sa.2, ss.389-396, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 80 Sayı: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1134/s1063778817020053
  • Dergi Adı: PHYSICS OF ATOMIC NUCLEI
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.389-396
  • Ankara Üniversitesi Adresli: Evet

Özet

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.