摘要
本文利用Hartle和Hawking的方法,讨论了具有旋量场的量子宇宙学,得到了相应的Wheeler-De Witt方程。求出了具有旋量场的宇宙波函数。从波函数可以看出,当标度因子α很小时,旋量场的影响很强,具体的形式与初始条件有关,而当标度因子α很大时,旋量场的行为和标量场一样。
In this paper we discussed the quantum cosmology with spinor field and gave the wave function of the universe by the Hartle-Hawking prescription. The Wheeler-De Witt equation of the quantum gravity, corresponding to Schrodinger equation, is obtained.From our solutions we have seen that the influence of spinor field is quite strong in the beginning of the universe, and it makes a phase shift in the wave function of the universe. As the universe expands the influence of spinor field getssmaller. When the universe enters the Lorentz region , thebehavior of spinor field will be the same as that of scalar field. The energy density is the only effect of spinor field on the wave function.
关键词
宇宙学
量子宇宙学
旋量场
Cosmology-Quantum cosmology-Spinor field
