Hamiltonian Formalism for Black Holes and Quantization II
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.
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
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