Abstract
Considering the effective gravitational actionincluding the quantum correction of the matter fields, we calculate nearly realistic wave function of the universe by using the scheme of Hartle and Hawking. The particular case with the cosmological constant Λ=0 is discussed, then the conclusion that the spacetime may be de Sitter's without Λ is obtained, this is just a result of interaction between gravity and matter fields. When the radius of the universe is larger than 10-1lp, the universe must be on the classical epoch. This paper shows that a practical quantum model of the universe is possible.
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