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• W2462342381 endingPage "055407" @default.
• W2462342381 startingPage "055407" @default.
• W2462342381 abstract "The claim found in many textbooks that the Dirac equation cannot be written solely in terms of Pauli matrices is shown to not be completely true. It is only true as long as the term in the usual Dirac factorization of the Klein–Gordon equation is assumed to be the product of a square matrix β and a column matrix ψ. In this paper we show that there is another possibility besides this matrix product, in fact a possibility involving a matrix operation, and show that it leads to another possible expression for the Dirac equation. We show that, behind this other possible factorization is the formalism of the Clifford algebra of physical space. We exploit this fact, and discuss several different aspects of Dirac theory using this formalism. In particular, we show that there are four different possible sets of definitions for the parity, time reversal, and charge conjugation operations for the Dirac equation." @default.
• W2462342381 created "2016-07-22" @default.
• W2462342381 creator A5016993458 @default.
• W2462342381 date "2016-07-11" @default.
• W2462342381 modified "2023-10-18" @default.
• W2462342381 title "The Clifford algebra of physical space and Dirac theory" @default.
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• W2462342381 doi "https://doi.org/10.1088/0143-0807/37/5/055407" @default.
• W2462342381 hasPublicationYear "2016" @default.
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