Reduced SL(2,R) WZNW quantum mechanics

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12 Citations (Scopus)

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 languageEnglish
Pages (from-to)1617-1631
Number of pages15
JournalJournal of Mathematical Physics
Volume37
Issue number4
DOIs
Publication statusPublished - Apr 1 1996

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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