| 与共形不变标量场耦合的Robertson-Walker几何的量子化 |
| |
| 引用本文： | 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. |
| |
| 作者姓名： | 王文福 陶才德 |
| |
| 作者单位： | 1.西南石油学院数理系；2.四川师范学院物理系 |
| |
| 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 |
| 收稿时间： | 1989-03-25 |
QUANTIZATION OF ROBERTSON-WALKER GEOMETRY COUPLED TO A CONFORMALLY INVARIANT SCALAR FIELD |
| |
| Wang Wen-fu Tao Cai-de.QUANTIZATION OF ROBERTSON-WALKER GEOMETRY COUPLED TO A CONFORMALLY INVARIANT SCALAR FIELD[J].Journal of Southwest Petroleum University(Seience & Technology Edition),1990,12(2):117-122. |
| |
| Authors: | Wang Wen-fu Tao Cai-de |
| |
| Institution: | Dept, of Maths & Physics；Dept. of Physics，Sichuan Teachers College |
| |
| 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. |
| |
| Keywords: | Quantization Conformally Invariant Scalar Field Planck length Wheeler-Dewitt Equation |
|
| 点击此处可从《西南石油大学学报（自然科学版）》浏览原始摘要信息 |
| 点击此处可从《西南石油大学学报（自然科学版）》下载免费的PDF全文 |
