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arXiv · hep-th/9410186

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

O. F. Dayi·I. H. Duru
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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-Schrödinger equation for a Kepler like potential is obtained from the q-oscillator Schrödinger equation. Energy spectrum and the ground state wave function are calculated.

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O. F. Dayi, I. H. Duru. 1995-03-02. $sl_q(2)$ Realizations for Kepler and Oscillator Potentials and q-Canonical Transformations. https://doi.org/10.1088/0305-4470%2F28%2F8%2F029

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