Quaternionic Lorentz group and Dirac equation

Details Quaternionic Lorentz group and Dirac equation Quaternionic Lorentz group and Dirac equation

2001-03-16

arxiv.org/abs/hep-th/0103129v1

Found.Phys.Lett. 14 (2001) 37-50

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, AMS-TeX

Scientific paper

We formulate Lorentz group representations in which ordinary complex numbers are replaced by linear functions of real quaternions and introduce dotted and undotted quaternionic one-dimensional spinors. To extend to parity the space-time transformations, we combine these one-dimensional spinors into bi-dimensional column vectors. From the transformation properties of the two-component spinors, we derive a quaternionic chiral representation for the space-time algebra. Finally, we obtain a quaternionic bi-dimensional version of the Dirac equation.

Affiliated with

Also associated with

No associations

Rating

Quaternionic Lorentz group and Dirac equation 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 Quaternionic Lorentz group and Dirac equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quaternionic Lorentz group and Dirac equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-638785