摘要
本文利用Vilenkin的方法讨论了具有共形标量场的量子宇宙学.导出了相应的Whee-ler-DeWitt方程,计算了宇宙波函数.所得到的字宙波函数的物质部分解具有谐振子本征态的形式,空间部分的解是由WKB方法给出的.通过对宇宙波函数的分析发现考虑了量子效应后,宇宙在α=O处出现的几率密度为零,而宇宙基态最可几半径为Planck长度.由宇宙波函数的分析,还发现宇宙最可能处在较小的Φ值状态.
Using the Vilenkin method, we discuss the quantum cosmology with conformal coupling scalar field. The corresponding Wheeler-DeWitt equation has been derived, and the wave function of the universe calculated. We got the material solution of the cosmic wave function in harmonic eigenstate and the solution of space given by WKB method. After analysing the wave function of the universe under the quantum effect, we found that the probability density of the universe appearing a ta=0 is zero, and that the minimal radius of the ground state of the universe is one Planck scale. The analysis of the wave function of the universe also reveals that the universe was likely piled at Φ=0.
出处
《天文学报》
CSCD
北大核心
1991年第4期380-388,共9页
Acta Astronomica Sinica
基金
国家自然科学基金
关键词
量子
宇宙学
标量场
宇宙波函数
quantum cosmology—tunneling wave function of the universe—conformal coupling scalar field