Physics
Scientific paper
Oct 1973
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1973phrvd...8.2377h&link_type=abstract
Physical Review D, vol. 8, Issue 8, pp. 2377-2385
Physics
27
Scientific paper
We formulate the quantum theory of a neutral scalar field, either minimally or conformally coupled to gravity, in nonrotating Bianchi type IX (mixmaster) universes. Creation and annihilation operators in the Heisenberg picture develop in time under a general Bogolubov transformation, which we calculate for a particular difinition of those operators. That transformation expresses mathematically the physical processes of particle creation and mode mixing, the latter being a new effect, absent in simpler models. Our results should be useful for investigating the possible damping of anisotropy in the expansion of closed, homogeneous universes as a result of particle creation and mode mixing.
Fulling Stephen A.
Hu Liang-Bin
Parker Leonard
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