Realizations for Kepler and Oscillator Po - tentials and q - Canonical Transformations

نویسنده

  • I. H. DURU
چکیده

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. E-mail address: [email protected]. E-mail address: [email protected].

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تاریخ انتشار 1995