中文摘要：

Hamilton—Jacobi方程是一个半经典的基础方程，可以用来表述各种粒子的半经典动力学行为，有助于我们了解霍金辐射的起源．作者将使用半经典Hamilton—Jacobi方程和新旧两种不同的乌龟坐标变换，对n维带电的动态Vaidya黑洞的标量粒子和费米子的隧穿进行研究．计算可以得到了黑洞事件视界附近粒子的隧穿率以及霍金温度，说明Hamilton—Jacobi方程可以用于各种自旋粒子的动力学研究，并通过比较研究证明文中所提及的tortoise坐标变换更为合理，更具有物理意义．

英文摘要：

Hamilton-Jacobi equation is a semi-classical foundation equation. It can describe various particle＇s semiclassical dynamic behavior,and it is helpful for us to understand the origin of Hawking radiation. This article will use semi-classical Hamilton-Jacobi equation and two kinds of general tortoise coordination transformation to study the scalar particle＇s and fermions＇ tunneling of n-dimensional charged Vaidya black hole. We can calculate the tunneling rate and the Hawking temperature near the horizon. The Hamihon-Jacobi equation can depict various particle＇s semi-classical dynamic behavior. Compared with the old condition, we find the new general tortoise coordination transformation more reasonable.