QUANTIZATION OF 2-DIMENSIONAL SYMPLECTIC-MANIFOLDS OF CONSTANT CURVATURE

Authors
Citation
Mk. Fung et Sy. Su, QUANTIZATION OF 2-DIMENSIONAL SYMPLECTIC-MANIFOLDS OF CONSTANT CURVATURE, Zhongguo wuli xuekan, 35(2), 1997, pp. 131-138
Citations number
10
Categorie Soggetti
Physics
Journal title
ISSN journal
05779073
Volume
35
Issue
2
Year of publication
1997
Pages
131 - 138
Database
ISI
SICI code
0577-9073(1997)35:2<131:QO2SOC>2.0.ZU;2-C
Abstract
We use functional integration to investigate the quantisation of two-d imensional symplectic manifolds of constant curvature. We study typica l cases of the 2-sphere, the cylinder and the hyperbolic plane. We dis cuss in detail the underlying symmetry group and obtain the energy spe ctrum of the representation in each case.