Geometric quantization of the global Liouville mechanics

Citation
Z. Bajnok et al., Geometric quantization of the global Liouville mechanics, J PHYS A, 32(43), 1999, pp. 7477-7481
Citations number
8
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
32
Issue
43
Year of publication
1999
Pages
7477 - 7481
Database
ISI
SICI code
0305-4470(19991029)32:43<7477:GQOTGL>2.0.ZU;2-S
Abstract
The reduced SL(2, KS) WZW quantum mechanics is analysed within the framewor k of geometric quantization. The spectrum of the Hamiltonian is determined, and it is found, that in contrast to previous approaches: there is a uniqu e, physically preferred quantization of the System.