English

A tensor form of the Dirac equation

Mathematical Physics 2007-05-23 v3 Analysis of PDEs math.MP

Abstract

We prove the following theorem: the Dirac equation for an electron (invented by P.A.M.Dirac in 1928) can be written as a tensor equation. An equation is called a tensor equation if all values in it are tensors and all operations in it take tensors to tensors.

Cite

@article{arxiv.math-ph/0007025,
  title  = {A tensor form of the Dirac equation},
  author = {N. G. Marchuk},
  journal= {arXiv preprint arXiv:math-ph/0007025},
  year   = {2007}
}

Comments

LaTeX, 23 pages I correct mistyping in the third line of the formula on page 18