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

Authors
DAYI OF DURU IH
Citation
Of. Dayi et Ih. Duru, SL(Q)(2) REALIZATIONS FOR KEPLER AND OSCILLATOR POTENTIALS AND Q-CANONICAL TRANSFORMATIONS, Journal of physics. A, mathematical and general, 28(8), 1995, pp. 2395-2402
Citations number
24
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
28
Issue
8
Year of publication
1995
Pages
2395 - 2402
Database
ISI
SICI code
0305-4470(1995)28:8<2395:SRFKAO>2.0.ZU;2-1
Abstract
The realizations of the Lie algebra corresponding to the dynamical sym metry group SO(2, 1) of the Kepler and oscillator potentials are q-def ormed. The q-canonical transformation connecting two realizations is g iven and a general definition for the q-canonical transformation is de duced. A q-Schrodinger equation for a Kepler-like potential is obtaine d from the q-oscillator Schrodinger equation. The energy spectrum and the ground-state wavefunction are calculated.