On the algebra of Dirac bispinor densities: Factorization and inversion theorems

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Abstract

The algebraic system formed by Dirac bispinor densities ρi≡ψ̄Γiψ is discussed. The inverse problem - given a set of 16 real functions ρi, which satisfy the bispinor algebra, find the spinor ψ to which they correspond - is solved. An expedient solution to this problem is obtained by introducing a general representation of Dirac spinors. It is shown that this form factorizes into the product of two noncommuting projection operators acting on an arbitrary constant spinor. © 1985 American Institute of Physics.

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Crawford, J. P. (1985). On the algebra of Dirac bispinor densities: Factorization and inversion theorems. Journal of Mathematical Physics, 26(7), 1439–1441. https://doi.org/10.1063/1.526906

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