English

Relativistic spin operator and Dirac equation

Mathematical Physics 2012-06-15 v1 math.MP Quantum Physics

Abstract

We give a direct link between description of Dirac particles in the abstract framework of unitary representation of the Poincar\'e group and description with the help of the Dirac equation. In this context we discuss in detail the spin operator for a relativistic Dirac particle. We show also that the spin operator used in quantum field theory for spin s=1/2s=1/2 corresponds to the Foldy-Woutheysen mean-spin operator.

Keywords

Cite

@article{arxiv.1206.3074,
  title  = {Relativistic spin operator and Dirac equation},
  author = {Paweł Caban and Jakub Rembieliński and Marta Włodarczyk},
  journal= {arXiv preprint arXiv:1206.3074},
  year   = {2012}
}

Comments

10 pages, no figures

R2 v1 2026-06-21T21:19:11.904Z