The Lie algebra sl(2,R) and so-called Kepler-Ermakov systems

Leach P., Karasu A.

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, cilt.11, sa.2, ss.269-275, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 2
  • Basım Tarihi: 2004
  • Doi Numarası: 10.2991/jnmp.2004.11.2.11
  • Dergi Adı: JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.269-275
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

A recent paper by Karasu (Kalkanli) and Yildirim (Journal of Nonlinear Mathematical Physics 9 (2002) 475-482) presented a study of the Kepler-Ermakov system in the context of determining the form of an arbitrary function in the system which was compatible with the presence of the sl(2, R) algebra characteristic of Ermakov systems and the existence of a Lagrangian for a subset of the systems. We supplement that analysis by correcting some results.