SL(Q)(2) REALIZATIONS FOR KEPLER AND OSCILLATOR POTENTIALS AND Q-CANONICAL TRANSFORMATIONS


DAYI O. , DURU I.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.28, no.8, pp.2395-2402, 1995 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 28 Issue: 8
  • Publication Date: 1995
  • Doi Number: 10.1088/0305-4470/28/8/029
  • Title of Journal : JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
  • Page Numbers: pp.2395-2402

Abstract

The realizations of the Lie algebra corresponding to the dynamical symmetry group SO(2, 1) of the Kepler and oscillator potentials are q-deformed. The q-canonical transformation connecting two realizations is given and a general definition for the q-canonical transformation is deduced. A q-Schrodinger equation for a Kepler-like potential is obtained from the q-oscillator Schrodinger equation. The energy spectrum and the ground-state wavefunction are calculated.