slq(2) Realizations for Kepler and Oscillator Potentials and q-Canonical Transformations
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\"odinger equation for a Kepler like potential is obtained from the q-oscillator Schr\"odinger equation. Energy spectrum and the ground state wave function are calculated.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.