Article ID Journal Published Year Pages File Type
1901134 Reports on Mathematical Physics 2009 12 Pages PDF
Abstract

Some SO(2, 1) invariant systems, like the Pöschl-Teller potential (both trigonometric and hyperbolic) and the Morse potential are studied by means of a transformation relating their phase-spaces with the coadjoint orbits of SO(2, 1) or SO(3). The geometries of these phase spaces are studied and their effects on the quantization are commented.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics