标题： Wheeler-德维特方程的功能变量变化 显示英文标题

标题： Functional Change of Variables in the Wheeler--De Witt Equation

摘要： 我提出了一种利用经典拉格朗日量在重参数化下不变性来求解Wheeler–de Witt方程的新方法。 这一性质允许为波函数$\Psi$的每个自由度引入一个任意函数：这种任意性可用于固定$\Psi$的渐近行为，从而得到表示封闭宇宙或虫洞的波函数。 这些考虑被详细应用于 Kantowski–Sachs 时空。 显示英文摘要

摘要： I present a new way to solve the Wheeler--de Witt equation using the invariance of the classical lagrangian under reparametrization. This property allows one to introduce an arbitrary function for each degree of freedom of the wave function $\Psi$: this arbitrariness can be used to fix the asymptotic behaviour of $\Psi$ so as to obtain a wave function representing a closed universe or a wormhole. These considerations are applied in detail to the Kantowsky--Sachs spacetime.