Wave equation of massless particles of arbitrary helicity
Quantum Physics
2022-08-08 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
In this work, we derive from first principles the relativistic wave equation of massless particles of arbitrary helicity. We start from unitary projective irreducible representations of the restricted Poincar\'e group. We define a weaker notion of localization and find, in particular, a position operator for any massless particle of arbitrary helicity. Therefore, having the position representation for these particles, we obtain the wave equations in this representation. We compare our results with previous findings in the literature.
Cite
@article{arxiv.2208.03154,
title = {Wave equation of massless particles of arbitrary helicity},
author = {Abraham Lozada and S. Tabban},
journal= {arXiv preprint arXiv:2208.03154},
year = {2022}
}
Comments
Submitted to Journal of Mathematical Physics