The Riemann-Silberstein vector in the Dirac algebra
Keyword(s):
It is shown that the Riemann-Silberstein vector, defined as ${\bf E} + i{\bf B}$, appears naturally in the $SL(2,C)$ algebraic representation of the electromagnetic field. Accordingly, a compact form of the Maxwell equations is obtained in terms of Dirac matrices, in combination with the null-tetrad formulation of general relativity. The formalism is fully covariant; an explicit form of the covariant derivatives is presented in terms of the Fock coefficients.
2019 ◽
Vol 16
(09)
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pp. 1950145
1978 ◽
Vol 19
(2)
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pp. 489-493
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2015 ◽
Vol 24
(10)
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pp. 1550079
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2002 ◽
Vol 14
(04)
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pp. 409-420
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2013 ◽
Vol 22
(04)
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pp. 1350017
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2021 ◽
Vol 13
(2)
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pp. 254-262
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