2010/08/31 by Lauri J. Suoranta, Suoranta, Lauri J.
Computer Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #Mathematical Physics (math-ph) #Neural Networks and Applications #math-ph #math.MP #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.1008.5382
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openalex publication_date 2010/08/31 · arxiv created 2010/12/22 · arxiv updated 2010/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.