Hamiltonian Formalism for Black Holes and Quantization II

Author

Marco Cavaglia, Missouri University of Science and TechnologyFollow
V. De Alfaro
A. T. Filippov

Abstract

We quantize by the Dirac-Wheeler-DeWitt method the canonical formulation of the Schwarzschild black hole developed in a previous paper. We investigate the properties of the operators that generate rigid symmetries of the Hamiltonian, establish the form of the invariant measure under the rigid transformations, and determine the gauge fixed Hilbert space of states. We also prove that the reduced quantization method leads to the same Hilbert space for a suitable gauge fixing.

Recommended Citation

M. Cavaglia et al., "Hamiltonian Formalism for Black Holes and Quantization II," International Journal of Modern Physics D, vol. 5, no. 3, pp. 227 - 250, World Scientific Publishing, Jun 1996.

The definitive version is available at https://doi.org/10.1142/S0218271896000163

Department(s)

Physics

International Standard Serial Number (ISSN)

0218-2718

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1996 World Scientific Publishing, All rights reserved.

Publication Date

01 Jun 1996