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Prog. Theor. Phys. Vol. 84 No. 5 (1990) pp. 899-907
Bogoliubov Transformations and Negative Binomial Distributions for Particle Creation by Gravitational Fields
M. Gasperini
Dipartimento di Fisica Teorica dell'Università, Via P. Giuria 1, 10125 Torino,
and
I.N.F.N., Sezione di Torino, Torino
(Received May 17, 1990)
Abstract:
Using the properties of Bogoliubov transformations it is shown that the probability distribution of the number of particles, produced by quantum gravity effects in curved spacetimes, follows in general a negative binomial law, provided that the background geometry is perfectly transparent to particle propagation.
URL :
http://ptp.ipap.jp/link?PTP/84/899/
DOI : 10.1143/PTP.84.899
References:
-
S. W. Hawking, Commun. Math. Phys. 43 (1975), 199[CrossRef].
-
R. M. Wald, Commun. Math. Phys. 45 (1975), 9[CrossRef].
-
L. Parker, Phys. Rev. D12 (1975), 1519[APS].
-
S. W. Hawking, Phys. Rev. D14 (1976), 2460[APS].
-
R. M. Wald, Phys. Rev. D13 (1976), 3176[APS].
-
J. D. Bekenstein and A. Meisels, Phys. Rev. D15 (1977), 2775[APS].
- A. Giovannini and L. Van Howe, Z. Phys. C30 (1986), 391.
- P. Carruthers and C. C. Shih, Int. J. Mod. Phys. A2 (1987), 1447.
-
L. Mandel and E. Wolf, Rev. Mod. Phys. 37 (1965), 231[APS].
-
P. Panagaden and R. M. Wald, Phys. Rev. D16 (1977), 929[APS].
- J. D. Bekenstein, in Jerusalem Einstein Centennial Symposium, ed. Y. Ne'eman (Addison-Wesley P.C., 1981), p. 42.
-
B. S. De Witt, Phys. Rep. 19 (1975), 295[CrossRef].
- N. D. Birrel and P. C. W. Davies, Quantum Fields in Curved Space (Cambridge University Press, N.Y., 1982).
-
L. Parker, Phys. Rev. 183 (1969), 1057[APS].
- S. Takagi, Prog. Theor. Phys. Suppl. No. 88 (1986), 1[IPAP].
-
S. A. Fulling, Phys. Rev. D7 (1973), 2850[APS].
-
P. C. W. Davies, J. of Phys. A8 (1975), 609[IoP STACKS].
-
W. G. Unruh, Phys. Rev. D14 (1976), 870[APS].
- W. Israel, Phys. Lett. 57A (1976), 107.
