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Square-root quantization: application to quantum black holes

Victor Berezin
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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.

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Victor Berezin. 1997-01-10. Square-root quantization: application to quantum black holes. https://doi.org/10.1016/s0920-5632(97)00370-8

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