On the dynamical group of the kepler problem in a curved space of constant curvature
Abstract
The factorization method of Schrödinger for this problem is recast into a Lie algebraic form and a new realization of the dynamical algebra as differential operators acting on the space of matrix elements of group representations is given. We also find a dynamical algebra which quantizes the central change Z of the atom in addition to the other quantum numbers n, l and m.
- Publication:
-
Physics Letters A
- Pub Date:
- August 1985
- DOI:
- 10.1016/0375-9601(85)90052-0
- Bibcode:
- 1985PhLA..110..351B