'Spectrum generating algebras' of classical systems: the Kepler-Coulomb potential

KURU Ş., Negro J.

7th International Conference on Quantum Theory and Symmetries (QTS), Prague, Czech Republic, 7 - 13 August 2011, vol.343 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 343
  • Doi Number: 10.1088/1742-6596/343/1/012063
  • City: Prague
  • Country: Czech Republic
  • Ankara University Affiliated: Yes

Abstract

We construct the classical 'spectrum generating algebra' for the Kepler-Coulomb potential and find a type of constants of motion depending explicitly on time. Such constants give rise to the motion of this system in an algebraic way.