Phys. Rev. D 61, 064017 (2000) [7 pages]Canonical quantization and the statistical entropy of the Schwarzschild black holeReceived 10 August 1999; published 25 February 2000 The canonical quantization of a Schwarzschild black hole yields a picture of the black hole that is shown to be equivalent to a collection of oscillators whose density of levels is commensurate with that of the statistical bootstrap model. Energy eigenstates of definite parity exhibit the Bekenstein mass spectrum M∼√NMp, where N∈N. From the microcanonical ensemble, we derive the statistical entropy of the black hole by explicitly counting the microstates corresponding to a macrostate of fixed total energy. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.61.064017
DOI:
10.1103/PhysRevD.61.064017
PACS:
04.60.Ds, 04.70.Dy
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