GENERALIZED TOTAL ANGULAR-MOMENTUM OPERATOR FOR THE DIRAC-EQUATION IN CURVED SPACE-TIME

被引:229
作者
CARTER, B
MCLENAGHAN, RG
机构
[1] UNIV LIBRE BRUXELLES,DEPT MATH,B-1050 BRUSSELS,BELGIUM
[2] UNIV WATERLOO,DEPT APPL MATH,WATERLOO N2L 3G1,ONTARIO,CANADA
来源
PHYSICAL REVIEW D | 1979年 / 19卷 / 04期
关键词
D O I
10.1103/PhysRevD.19.1093
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
It is found that an operator of the form i5[f-(16)f;] commutes with the Dirac operator whenever f is an antisymmetric tensor satisfying the Penrose-Floyd equation f(;)=0. Such a tensor exists notably in the Kerr solutions and in the flat-space limit wherein the operator can be interpreted as the square root of the ordinary total squared angular momentum Casimir operator of the rotation group. © 1979 The American Physical Society.
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页码:1093 / 1097
页数:5
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