Square-root quantization: application to quantum black holes

Abstract

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.

LaTeX file Talk given on the Second Conference on Constrained Dynamics and Quantum Gravity, Santa Margherita, Ligure, Italy, 17-21 September 1996

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