用旋量零标架方法导出广义球对称带电蒸发黑洞时空中Dirac粒子的能级

Relativistic Energy Levels Calculation of Dirac Particles in the General Spherically Symmetric Evaporating Black Holes with Electric Charges Space-time by Using Spinor Method

用旋量零标架方法对广义球对称带电蒸发黑洞时空中旋量粒子的Dirac方程分离变量,并退耦为普通微分方程组,从所获得的径向方程和角向方程出发,进一步导出了Dirac粒子的能级方程。得到了粒子的能量分布不仅与粒子的质量、自旋量子数、角量子数、磁量子数有关,还与黑洞周围的时空结构及视界的变化有关.

The variables of Dirac equations on the background of the general spherically symmetric evaporating black holes with electric charges space-time are separated by spinor method, and then the Dirac equations are changed into ordinary differential equations. Energy level equations are derived from radial equations and angular equations. We find that the energy distribution of Dirac particles not only depends on the mass,spin quantum number,angular quantum number and magnetic quantum number,but is also related to the structure of spacetime and the variations of event horizon of black hole.