REDUCED SL(2,R) WZNW QUANTUM-MECHANICS

The SL(2,R) WZNW-->Liouville reduction leads to a nontrivial phase spa ce on the classical level both in 0+1 and 1+1. dimensions. To study th e consequences in the quantum theory, the quantum mechanics of the 0+1 -dimensional, point particle version of the constrained WZNW model is investigated. The spectrum and the eigenfunctions of the obtained (rat her nontrivial) theory are given, and the physical connection between the pieces of the reduced configuration space is discussed in all the possible cases of the constraint parameters. (C) 1996 American Institu te of Physics.