与共形不变标量场耦合的Robertson-Walker几何的量子化

doi:10.3863/j.issn.1000-2634.1990.02.14

西南石油大学学报(自然科学版) ›› 1990, Vol. 12 ›› Issue (2): 117-122.DOI: 10.3863/j.issn.1000-2634.1990.02.14

与共形不变标量场耦合的Robertson-Walker几何的量子化

王文福¹ 陶才德²

1.西南石油学院数理系；2.四川师范学院物理系

收稿日期:1989-03-25 修回日期:1900-01-01 出版日期:1990-04-20 发布日期:1990-04-20

QUANTIZATION OF ROBERTSON-WALKER GEOMETRY COUPLED TO A CONFORMALLY INVARIANT SCALAR FIELD

Wang Wen-fu¹Tao Cai-de²

Dept, of Maths & Physics；Dept. of Physics，Sichuan Teachers College

Received:1989-03-25 Revised:1900-01-01 Online:1990-04-20 Published:1990-04-20

摘要/Abstract

摘要： 本文采用约束哈密顿体系的正则描述对与共形不变标量场耦合的Robertson-Walker宇宙量子化，得到了相应的Wheeler-Dewict方程的精确
解，并且证明了在这种情况下代表量子引力中算符次序模糊的参数P等于零.最后，我们还证明了宇宙标度因子的最小位为普朗克长度，从而避免了宇宙向奇点的塌缩.

关键词: 量子化, 共形不变标量场, 普朗克长度:Wheeler-Dewitt方程

Abstract:

A Robertson-walker universe coupled to a conformally invariant scalar field is quantized following the canonical formalism for constrained Hamiltonian systems, The exact solution is found to corresponding wheeler-Dewitt equation. It is shown that in the case under discussion the parameter vanishing. The parameter p denotes some factor-ordering ambiguty in the Quantum Gravitational Theory. It is also shown that the extreme value of the scale factor of the universe is the order of planck length.

Key words: Quantization, Conformally Invariant Scalar Field, Planck length, Wheeler-Dewitt Equation

王文福陶才德. 与共形不变标量场耦合的Robertson-Walker几何的量子化[J]. 西南石油大学学报(自然科学版), 1990, 12(2): 117-122.

Wang Wen-fu Tao Cai-de. QUANTIZATION OF ROBERTSON-WALKER GEOMETRY COUPLED TO A CONFORMALLY INVARIANT SCALAR FIELD[J]. 西南石油大学学报(自然科学版), 1990, 12(2): 117-122.

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与共形不变标量场耦合的Robertson-Walker几何的量子化

QUANTIZATION OF ROBERTSON-WALKER GEOMETRY COUPLED TO A CONFORMALLY INVARIANT SCALAR FIELD

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