Abstract
The Liouville superoperator representation of spin-1/2 wave equations (Dirac, Feynman-Gell-Mann) is studied following the phase space approach of Prigogine, Wigner-Moyal, Bohm and Schönberg. We give the conditions for the phase space tensor theory to reproduce the usual formalism in terms of a restriction of states to minimal ideals in the spacetime Dirac and Jordan-Wigner Clifford Algebras. Consequences of these results are discussed.
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Holland, P.R. (1986). Minimal Ideals and Clifford Algebras in the Phase Space Representation of Spin-1/2 Fields. In: Chisholm, J.S.R., Common, A.K. (eds) Clifford Algebras and Their Applications in Mathematical Physics. NATO ASI Series, vol 183. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4728-3_23
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DOI: https://doi.org/10.1007/978-94-009-4728-3_23
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