English

Generalising Wigner's theorem

Quantum Physics 2016-07-20 v2 Mathematical Physics math.MP Operator Algebras

Abstract

We analyse linear maps of operator algebras BH(H)\mathcal{B}_H(\mathcal{H}) mapping the set of rank-kk projectors onto the set of rank-ll projectors surjectively. We give a complete characterisation of such maps for prime n=dimHn = \dim\mathcal{H}. The solution is known for k=l=1k=l=1 as the Wigner's theorem.

Keywords

Cite

@article{arxiv.1602.04968,
  title  = {Generalising Wigner's theorem},
  author = {Gniewomir Sarbicki and Dariusz Chruściński and Marek Mozrzymas},
  journal= {arXiv preprint arXiv:1602.04968},
  year   = {2016}
}

Comments

6 pages

R2 v1 2026-06-22T12:51:05.300Z