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arXiv · hep-th/9502145

Reduced SL(2,R) WZNW Quantum Mechanics

Tamas Fulop
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Abstract

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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Tamas Fulop. 1995-11-28. Reduced SL(2,R) WZNW Quantum Mechanics. https://doi.org/10.1063/1.531472

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