English

The Dirac equation without spinors

Mathematical Physics 2018-08-14 v1 Analysis of PDEs math.MP Spectral Theory

Abstract

In the first part of the paper we give a tensor version of the Dirac equation. In the second part we formulate and analyse a simple model equation which for weak external fields appears to have properties similar to those of the 2--dimensional Dirac equation.

Keywords

Cite

@article{arxiv.math-ph/9808010,
  title  = {The Dirac equation without spinors},
  author = {Daniel M. Elton and Dmitri Vassiliev},
  journal= {arXiv preprint arXiv:math-ph/9808010},
  year   = {2018}
}

Comments

20 pages. Submitted for publication in the proceedings of the conference `Functional analysis, partial differential equations and applications', Rostock (Germany) 31 August--4 September 1998