Quaternionic Lorentz group and Dirac equation

Simple item page
dc.creatorDe Leo, Stefano
dc.date2001-03-16
dc.date.accessioned2026-07-07T04:11:26Z
dc.date.available2026-07-07T04:11:26Z
dc.descriptionWe 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.
dc.description9 pages, AMS-TeX
dc.identifierhttps://arxiv.org/abs/hep-th/0103129
dc.identifierhttp://arxiv.org/abs/hep-th/0103129
dc.identifierFound.Phys.Lett. 14 (2001) 37-50
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50587
dc.subjectHigh Energy Physics - Theory
dc.titleQuaternionic Lorentz group and Dirac equation
dc.typetext

Files

Collections

arXiv