Square-root quantization: application to quantum black holes

Details Square-root quantization: application to quantum black holes Square-root quantization: application to quantum black holes

1997-01-10

arxiv.org/abs/gr-qc/9701017v1

Nucl.Phys.Proc.Suppl. 57 (1997) 181-183

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX file Talk given on the Second Conference on Constrained Dynamics and Quantum Gravity, Santa Margherita, Ligure, Italy, 1

Scientific paper

10.1016/S0920-5632(97)00370-8

Two different ways of quantizing the relativistic Hamiltonian for radial
motion in the field of Coulomb-like potential are compared. The results depend
slightly on choice of time. In the case of Lorentzian time a Sommerfeld
spectrum is recovered. Application to quantum black holes gives a sqrt{n} mass
spectrum with about the same numerical factors.

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