A second order differential equation for the relativistic description of electrons and photons

Details A second order differential equation for the relativistic description of electrons and photons A second order differential equation for the relativistic description of electrons and photons

1999-04-26

arxiv.org/abs/hep-th/9904170v2

Phys.Lett.B625:313-323,2005

Physics

High Energy Physics

High Energy Physics - Theory

17 pages Latex2e. Published under the new title "Relativistic quantum physics with hyperbolic numbers"

Scientific paper

10.1016/j.physletb.2005.08.072

A representation of the quadratic Dirac equation and the Maxwell equations in terms of the three-dimensional universal complex Clifford algebra $\bar{\bfa{C}}_{3,0}$ is given. The investigation considers a subset of the full algebra, which is isomorphic to the Baylis algebra. The approach is based on the two Casimir operators of the Poincar\'e group, the mass operator and the spin operator, which is related to the Pauli-Lubanski vector. The extension to spherical symmetries is discussed briefly. The structural difference to the Baylis algebra appears in the shape of the hyperbolic unit, which plays an integral part in this formalism.

Affiliated with

Also associated with

No associations

Rating

A second order differential equation for the relativistic description of electrons and photons does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A second order differential equation for the relativistic description of electrons and photons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A second order differential equation for the relativistic description of electrons and photons will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-54353