中文摘要：

从描述自旋为1/2费米子动力学的Dirac方程和自旋3/2的费米子动力学的Rarita-Schwinger方程开始,推导出了静态球对称强引力场和稳态轴对称强引力场背景下的Hamilton-Jacobi方程,并利用Hamilton-Jacobi方程来研究了荷电球对称黑洞的量子隧穿行为。结论显示,Hamilton-Jacobi方程有助于人们更进一步的理解黑洞的热力学性质及其黑洞辐射特征。

英文摘要：

The Hamilton-Jacobi equation is a kind of semi-classical equation,which plays an important role in black hole physics. In this paper,due to the Dirac equation which descripts the dynamics of fermion with spin 1/2 and the Rarita-Schwinger which descripts the dynamics of fermion with spin 3/2,we derived the Hamilton-Jacobi,and use it to investigate the tunneling from a charged spherical symmetric black hole. Our discussion shows that the Hamilton-Jacobi can greatly simplify the research. Therefore,the Hamilton-Jacobi is helpful for people to know more about the thermodynamic properties of black holes.