### Abstract

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.

Original language | English (US) |
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Pages (from-to) | 1439-1441 |

Number of pages | 3 |

Journal | Journal of Mathematical Physics |

Volume | 26 |

Issue number | 7 |

DOIs | |

State | Published - Jan 1 1985 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

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