论文标题
带有订购参数的Wheeler-Dewitt方程的解决方案类别
Class of solutions of the Wheeler-DeWitt equation with ordering parameter
论文作者
论文摘要
在这封信中，我们在Friedmann-Robertson-Walker Universe中使用订购参数讨论了Wheeler-Dewitt方程。当宇宙很小并且在扩展结束时，解决方案分别是根据Bessel和Heun功能获得的。我们还获得了一个边界条件，应通过订购参数来满足，即$ 0 \ leq p \ leq 2 $。我们研究了比例因子相对于概率密度的最大值的最小值。
In this letter, we discuss the Wheeler-DeWitt equation with an ordering parameter in the Friedmann-Robertson-Walker universe. The solutions when the universe was very small and at the end of the expansion are obtained in terms of Bessel and Heun functions, respectively. We also obtain a boundary condition which should be satisfied by the ordering parameter, namely, $0 \leq p \leq 2$. We investigate the minimum value of the scale factor with respect to the maximum value of the probability density.
