### Abstract

The SL(2,R) WZNW→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.

Original language | English |
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Pages (from-to) | 1617-1631 |

Number of pages | 15 |

Journal | Journal of Mathematical Physics |

Volume | 37 |

Issue number | 4 |

DOIs | |

Publication status | Published - Apr 1 1996 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Fülöp, T. (1996). Reduced SL(2,R) WZNW quantum mechanics.

*Journal of Mathematical Physics*,*37*(4), 1617-1631. https://doi.org/10.1063/1.531472