Entropy of open quantum systems and the Poisson distribution
Teoretičeskaâ i matematičeskaâ fizika, Tome 123 (2000) no. 1, pp. 107-115

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The entropies of a harmonic oscillator and a quantum Klein–Gordon–Fock field with a static source are found in the coherent state. In both cases, the obtained expressions coincide up to a numerical factor with the Bekenstein–Hawking entropy for a black hole or, more precisely, for the physical vacuum around the hole. Such a coincidence and the property of a gravitational field to make a quantum system placed in this field decoherent lead to the assumption that the vacuum in the vicinity of a black hole is in a coherent state.
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A. G. Bashkirov; A. D. Sukhanov. Entropy of open quantum systems and the Poisson distribution. Teoretičeskaâ i matematičeskaâ fizika, Tome 123 (2000) no. 1, pp. 107-115. http://geodesic.mathdoc.fr/item/TMF_2000_123_1_a9/