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Square-root quantization: Application to quantum black holes. (English) Zbl 0976.83531

Summary: We show that there exists a suitable canonical transformation converting a famous square-root operator into an exponential operator. The resulting Schrödinger equation is a finite difference equation as in the first approach. Then, repeating the steps of the first part of the paper we pass to the mass spectra of the shells and quantum black holes. The latter is similar to that found earlier.

MSC:

83C57 Black holes
81T20 Quantum field theory on curved space or space-time backgrounds
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References:

[1] V. A. Berezin, “Quantum Black Hole Model and Hawking”s Radiation”, Preprint INR 0916/96, e-print gr-qc/9602020.; V. A. Berezin, “Quantum Black Hole Model and Hawking”s Radiation”, Preprint INR 0916/96, e-print gr-qc/9602020.
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