HAMILTONIAN-FORMALISM FOR BLACK-HOLES AND QUANTIZATION .2.

Citation
M. Cavaglia et al., HAMILTONIAN-FORMALISM FOR BLACK-HOLES AND QUANTIZATION .2., International journal of modern physics D, 5(3), 1996, pp. 227-250
Citations number
18
Categorie Soggetti
Astronomy & Astrophysics
ISSN journal
02182718
Volume
5
Issue
3
Year of publication
1996
Pages
227 - 250
Database
ISI
SICI code
0218-2718(1996)5:3<227:HFBAQ.>2.0.ZU;2-Y
Abstract
We quantize by the Dirac-Wheeler-DeWitt method the canonical formulati on of the Schwarzschild black hole developed in a previous paper. We i nvestigate the properties of the operators that generate rigid symmetr ies of the Hamiltonian, establish the form of the invariant measure un der the rigid transformations, and determine the gauge fixed Hilbert s pace of states. We also prove that the reduced quantization method lea ds to the same Hilbert space for a suitable gauge fixing.