标题： 在哈密顿量弱消失的完全约束系统中的时间演化 显示英文标题

标题： On the time evolution in totally constrained systems with weakly vanishing Hamiltonian

摘要： 狄拉克方法处理具有弱消失哈密顿量的有限维奇异系统，导致以参数$\tau$表示的运动方程。 为了获得正确的运动方程，应使用形式为$\tau - f(t)=0$的规范固定。 表明规范方法能够以物理时间$t$描述具有弱消失哈密顿量的标准和约束有限维系统的演化，而无需使用任何规范固定条件。 除了使用规范方法研究这些系统的算子量子化，并表明状态$\Psi$随时间$t$的演化由薛定谔方程$i\frac{\partial \Psi}{\Partial t} = {\hat H}\Psi$描述。 给出了将此处理方法扩展到无限维系统的说明。 显示英文摘要

摘要： The Dirac method treatment for finite dimensional singular systems with weakly vanishing Hamiltonian leads to obtain the equations of motion in terms of parameter $\tau$. To obtain the correct equations of motion one should use gauge fixing of the form $\tau - f(t)=0$. It is shown that the canonical method leads to describe the evolution in both standard and constrained finite dimensional systems with weakly vanishing Hamiltonian in terms of the physical time $t$, without using any gauge fixing conditions. Besides the operator quantization of the these systems is investigated using the canonical method and it is shown that the evolution of the state $\Psi$ with the time $t$ is described by the Schr/"odinger equation $i\frac{\partial \Psi}{\Partial t} = {\hat H}\Psi$. The extension of this treatment to infinite dimensional systems is given.