Contemplations on Dirac's equation in quaternionic coordinates
Mathematical Physics
2009-11-10 v1 Strongly Correlated Electrons
High Energy Physics - Theory
math.MP
Abstract
A formulation of Dirac's equation using complex-quaternionic coordinates appears to yield an enormous gain in formal elegance, as there is no longer any need to invoke Dirac matrices. This formulation, however, entails several peculiarities, which we investigate and attempt to interpret.
Cite
@article{arxiv.math-ph/0409050,
title = {Contemplations on Dirac's equation in quaternionic coordinates},
author = {Dirk Schuricht and Martin Greiter},
journal= {arXiv preprint arXiv:math-ph/0409050},
year = {2009}
}