摘要
在本文中,我们在一般的四维稳态伪Riemann时空中讨论了Dirac粒子的束缚态问题。用零标架方法计算了旋系数,导出了Dirac方程,在视界曲面附近求解了Dirac方程,得到了Dirac粒子四分量波函数显示表达式,发现在视界曲面附近,该解是具有无限个节点的共振态解。从而推知,具有非简并视界的四维稳态伪Riemann时空一般不可能存在Dirac粒子束缚态。
In this paper, we discuss the problem, the bound state of Dirac particles in general four dimensional steady state of pseado-Riemann space-time. The spin coefficients are calculated by using the way of null tetrad. And we solve the Dirac equation near the event horizon and get the four component ingoing and outgoing wave functions of Dirac particles. We have found that near the event horiozn,. this solution represents a resonant state with infinite number of nodes. Thus we can conclude that there are not any bound states of Dirac particles in four dimensional asymptotic flat pseudo-Rieman Space-time if it has nondegenerate horizon.
出处
《中国科学院上海天文台年刊》
1989年第10期125-133,共9页
Annals Shanghai Astronomical Observatory Chinese Academy of Sciences
