ON THE ALGEBRA OF DIRAC BISPINOR DENSITIES: FACTORIZATION AND INVERSION THEOREMS

Crawford, J.P.

doi:10.1063/1.526906

ON THE ALGEBRA OF DIRAC BISPINOR DENSITIES: FACTORIZATION AND INVERSION THEOREMS

J.P. Crawford
(
- Penn State U., Uniontown
)

1985

3 pages

Published in:

J.Math.Phys. 26 (1985) 1439-1441

DOI:

10.1063/1.526906

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Abstract: (AIP)

The algebraic system formed by Dirac bispinor densities ρ i ≡ψ̄Γ i ψ is discussed. The inverse problem—given a set of 16 real functions ρ i , 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.

FIELD THEORY: SPINOR
SPINOR: FIELD THEORY
ALGEBRA: REPRESENTATION
Dirac equation

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