Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-02-24
J.Math.Phys. 37 (1996) 1617-1631
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX file, 33 pages. Results extended, contains all technical information not detailed in version to appear in J. Math. Phys
Scientific paper
10.1063/1.531472
The $SL(2,\R)$ WZNW $\rightarrow$ Liouville reduction leads to a nontrivial phase space on the classical level both in $0+1$ and $1+1$ dimensions. To study the 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---rather 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.
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