$sl_q(2)$ Realizations for Kepler and Oscillator Potentials and q-Canonical Transformations

Preprint

2 March 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9410186

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 q-canonical transformation is deduced. q-Schr\"{o}dinger equation for a Kepler like potential is obtained from the q-oscillator Schr\"{o}dinger equation. Energy spectrum and the ground state wave function are calculated.

Keywords

CANONICAL TRANSFORMATION
KEPLER AND OSCILLATOR
OSCILLATOR POTENTIALS
DINGER EQUATION
ALGEBRA
SL_Q
SCHR

All Related Versions

Version 1, 1994-10-25, ArXiv
Version 2, 1995-03-02, ArXiv
Published version: Journal of Physics A: General Physics, 28 (8), 2395.

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