Mathematics – Logic
Scientific paper
Sep 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phrvd..32.1290c&link_type=abstract
Physical Review D (Particles and Fields), Volume 32, Issue 6, 15 September 1985, pp.1290-1301
Mathematics
Logic
11
Origin And Formation Of The Universe
Scientific paper
A quantum cosmological model of the inflationary universe is investigated by solving the Wheeler-DeWitt equation. We consider a model with a minimally coupled scalar field, the potential of which is a simple double well. By applying the boundary condition of ``no boundary,'' we calculate the wave function of our model universe. We find that in a certain parameter range a big peak is formed near the maximum of the double-well potential of the scalar field, accompanied by a recession of the exponential behavior of the wave function. We show that this peak can be consistently interpreted as representing a high density of classical paths of generalized oscillating universes, and as a consequence of the constructive interference of quantum states corresponding to these classical paths by the WKB approximation. The cosmological scenario with nonvanishing, nearly critical ``velocity'' of the vacuum expectation value in the early universe, which is suggested by the behavior of the wave function, is discussed.
Carow Ursula
Watamura Satoshi
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