Classical spectrum generating algebra of the Kepler-Coulomb system and action-angle variables

KURU Ş., Negro J.

PHYSICS LETTERS A, cilt.376, sa.4, ss.260-264, 2012 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 376 Sayı: 4
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.physleta.2011.12.001
  • Dergi Adı: PHYSICS LETTERS A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.260-264
  • Anahtar Kelimeler: Factorization method, Time-dependent integrals of motion, Poisson algebras of one-dimensional classical systems, Action-angle variables, COHERENT STATES, POTENTIALS, FACTORIZATIONS
  • Ankara Üniversitesi Adresli: Evet

Özet

The classical spectrum generating algebra for the one-dimensional Kepler-Coulomb system is computed and a set of two corresponding constants of motion depending explicitly on time is obtained. Such constants supply the solution to the motion in an algebraic way. The connection of the spectrum generating algebra and the action-angle variables of the system is also shown. (C) 2011 Elsevier B.V. All rights reserved.