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

J. P. Crawford

Research output: Contribution to journalArticle

58 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)1439-1441
Number of pages3
JournalJournal of Mathematical Physics
Volume26
Issue number7
DOIs
StatePublished - Jan 1 1985

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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