slq(2) realizations for Kepler and oscillator potentials and q-canonical transformations
- 21 April 1995
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 28 (8) , 2395-2402
- https://doi.org/10.1088/0305-4470/28/8/029
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.Keywords
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