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 TMF, 1971, Volume 8, Number 2, Pages 226–234 (Mi tmf4400)

Quantized scalar field in Friedmann–Lobachevskii space

B. A. Levitskii

Abstract: A quantized scalar field is considered in an open Friedmann universe wich a Lorentz invariant spatial part. Since the Friedmann universe is nomstationary, the energy of a free field is a not conserved and the Hamiltonian is not diagonal in the creation and annihilation operators. The Hamiltonian is diagonaliized by means of a set of $\eta$-dependent representations ($\eta$ is the time) of the commutation relations with Lorentz invariant vacuum states. The $\eta$-wacuum mean value of the operator of the number density of particles corresponding to the $\eta_0$ representation ($\eta>\eta_0$) is caleulated. The question of $\eta$ a quasielassieal limit is discussed and a transition is made to flat space-time.

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English version:
Theoretical and Mathematical Physics, 1971, 8:2, 791–797

Citation: B. A. Levitskii, “Quantized scalar field in Friedmann–Lobachevskii space”, TMF, 8:2 (1971), 226–234; Theoret. and Math. Phys., 8:2 (1971), 791–797

Citation in format AMSBIB
\Bibitem{Lev71} \by B.~A.~Levitskii \paper Quantized scalar field in Friedmann--Lobachevskii space \jour TMF \yr 1971 \vol 8 \issue 2 \pages 226--234 \mathnet{http://mi.mathnet.ru/tmf4400} \transl \jour Theoret. and Math. Phys. \yr 1971 \vol 8 \issue 2 \pages 791--797 \crossref{https://doi.org/10.1007/BF01038000} 

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This publication is cited in the following articles:
1. A. A. Grib, B. A. Levitskii, V. M. Mostepanenko, “Particle creation from vacuum by a nonstationary gravitational field in the canonical formalism”, Theoret. and Math. Phys., 19:1 (1974), 349–361
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