The Dirac propagator in the Kerr-Newman metric
The Dirac propagator in the Kerr-Newman metric
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DOI：
10.1143/ptp.116.517
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发表时间：
2006-09-01
影响因子：
--
通讯作者：
Schmid, Harald
中科院分区：
文献类型：
--
作者：
Batic, Davide;Schmid, Harald
本文给出了Dirac方程在Kerr-Newman度规下的完全性的另一种证明。在此基础上，我们推导出光滑紧支撑函数的积分表示，进而我们使用该积分表示推导出具有上述函数类中的初始数据的Cauchy问题的解的传播子。作为一个副产品，我们还获得了狄拉克方程的传播子在闵可夫斯基时空在扁球坐标。
We give an alternative proof of the completeness of the Chandrasekhar ansatz for the Dirac equation in the Kerr-Newman metric. Based on this, we derive an integral representation for smooth compactly supported functions which in turn we use to derive an integral representation for the propagator of solutions of the Cauchy problem with initial data in the above class of functions. As a by-product, we also obtain the propagator for the Dirac equation in the Minkowski space-time in oblate spheroidal coordinates.