We use functional integration to investigate the quantisation of two-dimensional symplectic manifolds of constant curvature. We study typical cases of the 2-sphere, the cylinder and the hyperbolic plane. We discuss in detail the underlying symmetry group and obtain the energy spectrum of the representation in each case.
|Number of pages||8|
|Journal||Chinese Journal of Physics|
|Publication status||Published - 1997 Apr 1|
ASJC Scopus subject areas
- Physics and Astronomy(all)