Statistics – Computation
Scientific paper
Nov 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991scsmp..33.1378s&link_type=abstract
Science in China, Series A - Mathematics, Physics, Astronomy and Technological Sciences (ISSN 1001-6511), vol. 33, Nov. 1991, p.
Statistics
Computation
Cosmology, Quantum Theory, Space-Time Functions, Wave Functions, Computational Astrophysics, Gravitation Theory, Harmonic Oscillators
Scientific paper
Using the Hartle-Hawking (1983) method, the quantum cosmology with O(8N+1)(-) symmetric coupling scalar field is discussed. The corresponding Wheeler-De Witt equation has been derived, and the wave function of the universe calculated. The material solution of the cosmic wave function in harmonic eigenstate is obtained, and the solution of space is the product of the Gauss factor and one polynomial. After analyzzing the wave function of the universe under the quantum effect, it was found that the probability density of the universe appearing at a = 0 is zero, and that the minimal radius of the ground state of the universe is on the Planck scale. The analysis of the wave function of the universe also reveals that, at the very early stage of the universe, the probability density of the multiscalar field is smaller than that of the one-scalar field.
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