Yg. Shen et Zq. Tan, QUANTUM-FIELD THEORY OF THE UNIVERSE IN THE KANTOWSKI-SACHS SPACE-TIME, Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 111(3), 1996, pp. 327-330
In this paper, the quantum field theory of the Universe in the Kantows
ki-Sachs space-time is studied. We apply an analogue of proceeding in
quantum field theory in curved spate-time to the Kantowski-Sachs space
-time, and obtain the wave function of the Universe satisfied the Whee
ler-De Witt equation. Regarding the wave function as a universe field
in the minisuperspace, we can not only overcome the difficulty of the
probabilistic interpretation in quantum cosmology, but also come to th
e conclusion that there is multiple production of universes. The avera
ge number of the produced universes from nothing is calculated. The di
stribution of created universes is given. We find that it is the Planc
kian distribution.