Anticommuting Linear Transformations
1961 ◽
Vol 13
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pp. 614-624
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Keyword(s):
It is well known that any set of four anticommuting involutions (see §2) in a four-dimensional vector space can be represented by the Dirac matrices(1)where the B1,r are the Pauli matrices(2)(See (1) for a general exposition with applications to Quantum Mechanics.) One formulation, which we shall call the Dirac-Pauli theorem (2; 3; 1), isTheorem 1. If M1,M2, M3, M4 are 4 X 4 matrices satisfyingthen there is a matrix T such thatand T is unique apart from an arbitrary numerical multiplier.
1980 ◽
Vol 32
(4)
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pp. 957-968
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2017 ◽
Vol 103
(3)
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pp. 402-419
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2004 ◽
Vol 134
(3)
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pp. 477-499
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1985 ◽
Vol 28
(3)
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pp. 319-331
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1993 ◽
Vol 45
(2)
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pp. 357-368
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1978 ◽
Vol 30
(6)
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pp. 1228-1242
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1983 ◽
Vol 35
(5)
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pp. 776-806
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