English

On the Physical Interpretation of the Dirac Wavefunction II: The Massive Dirac Field

Quantum Physics 2018-06-15 v1

Abstract

Using the language of the Geometric Algebra, we recast the massive Dirac bispinor as a set of Lorentz scalar, vector, bivector, pseudovector, and pseudoscalar fields that obey a generalized form of Maxwell's equations of electromagnetism. This field-based formulation requires careful distinction between geometric and non-geometric implementations of the imaginary unit scalar in the Dirac algebra. This distinction, which is obscured in conventional treatments, allows us to find alternative constructions of the field bilinears and a more natural interpretation of the discrete C, P, and T transformations.

Keywords

Cite

@article{arxiv.1806.05545,
  title  = {On the Physical Interpretation of the Dirac Wavefunction II: The Massive Dirac Field},
  author = {Anastasios Y. Papaioannou},
  journal= {arXiv preprint arXiv:1806.05545},
  year   = {2018}
}

Comments

17 pages

R2 v1 2026-06-23T02:30:07.025Z