DAYI, OFDURU, IH2024-06-122024-06-1219950305-4470https://doi.org/10.1088/0305-4470/28/8/029https://hdl.handle.net/20.500.14551/25038The 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.en10.1088/0305-4470/28/8/029info:eu-repo/semantics/openAccessHarmonic-OscillatorQuantum-MechanicsH-AtomSystemsArticle28823952402N/AWOS:A1995QV90400029