Statistics – Computation
Scientific paper
Dec 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991acasn..32..380h&link_type=abstract
(Acta Astronomica Sinica, vol. 32, no. 4, 1991, p. 380-388) Chinese Astronomy and Astrophysics (ISSN 0275-1062), vol. 16, no. 2,
Statistics
Computation
Astronomical Models, Cosmology, Gravitation Theory, Quantum Theory, Computational Astrophysics, Conformal Mapping, Scalars, Space-Time Functions, Wave Functions, Wentzel-Kramer-Brillouin Method
Scientific paper
Vilenkin's method is used to discuss quantum cosmology with conformal scalar field. The corresponding Wheeler-De Witt equation is derived and the wave function of the universe is calculated. The matter portion of the solution has the form of eigenstates of harmonic oscillators and the spatial portion is given by the WKB method. An analysis of the cosmic wave function reveals that, when quantum effect is included, the probability density of the universe appearing at alpha = 0 is zero and that the most probable radius of the base state of the universe is about one Planck length. The analysis also reveals that the universe is most probably in a state of small phi.
Huang Wei-Hong
Shen You-Gen
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