English

Generalized Spin-Statistics Theorem

General Physics 2010-12-23 v4 Mathematical Physics math.MP

Abstract

We derive the spin-statistics theorem in both relativistic and non-relativistic first-quantized form, extending considerably the earlier proofs. Our derivation is based on the representation theories of the groups SU (2) and SL(2,C), latter being the universal covering of the Lorentz group. We define the identity of particles. We include theories that have an internal symmetry group. We discuss consistency of the non-relativistic limit.

Keywords

Cite

@article{arxiv.1008.5382,
  title  = {Generalized Spin-Statistics Theorem},
  author = {Lauri J. Suoranta},
  journal= {arXiv preprint arXiv:1008.5382},
  year   = {2010}
}

Comments

This paper has been withdrawn by the author in response to arXiv policies

R2 v1 2026-06-21T16:07:38.185Z