Dirac Theory of the Electron According to Spacetime Algebra

Read the full article See related articles

Listed in

This article is not in any list yet, why not save it to one of your lists.
Log in to save this article

Abstract

A simple and straightforward formulation of the Dirac theory of electron exclusively according to Spacetime algebra (and calculus) is presented. The `Dirac algebra', is expressed in identical compact combination of the commutation and anticommutation relations both for Dirac matrices and the spacetime basis vectors. The formulation restates the theory with a set of 'local observables' and provides both comprehensive and coherent description revealing new insights. The noncollinearity of momentum and velocity, arising from a link between spin and momentum is also discussed. According to this reformulation, spin appears as a dynamical property of electron motion and plays fundamental role in exhibiting the quantum behavior.

Article activity feed