Abstract： A quantum inflationary universe model is proposed, in which the expansion factor S(t) is treated as a q-number, and the cosmological constant A is identified with the energy density of Higgs field. Moreover, the initial quantum state is assumed to be a Gauss wave pocket. In such framework, < S 3/2> follows the classical de-Sitter expansive law. The relative quantum uncertainty of Hubble size lH(t) = (S/S)-1 was computed: ΔlH(t) / < l H(t)>～Z-6, where Z is the inflationary factor of universe. This result is basically different from that of Padmanabhan; the discrepency was explained. We conclude that the quantum Hubble size is practically a classical quantity.
ZHANG Shiwei. QUANTUM INFLATIONARY MODEL AND THE UNCERTAINTY OF THE HUBBLE SIZE[J]. 中国物理快报, 1989, 6(9): 429-432.
ZHANG Shiwei. QUANTUM INFLATIONARY MODEL AND THE UNCERTAINTY OF THE HUBBLE SIZE. Chin. Phys. Lett., 1989, 6(9): 429-432.
1989, Vol. 6 
