English

On Wigner's theorem

Mathematical Physics 2012-08-01 v3 Mesoscale and Nanoscale Physics High Energy Physics - Theory math.MP

Abstract

Wigner's theorem asserts that any symmetry of a quantum system is unitary or antiunitary. In this short note we give two proofs based on the geometry of the Fubini-Study metric.

Keywords

Cite

@article{arxiv.1112.2133,
  title  = {On Wigner's theorem},
  author = {Daniel S. Freed},
  journal= {arXiv preprint arXiv:1112.2133},
  year   = {2012}
}

Comments

5 pages; small changes in v2; final small changes for publication in v3

R2 v1 2026-06-21T19:48:55.629Z