An alternative proof of Wigner theorem on quantum transformations based on elementary complex analysis

Abstract : According to Wigner theorem, transformations of quantum states which preserve the probabilities are either unitary or antiunitary. This short communication presents an elementary proof of this theorem that significantly departs from the numerous ones already existing in the literature. The main line of the argument remains valid even in quantum field theory where Hilbert spaces are non-separable.
Document type :
Journal articles
Complete list of metadatas

Cited literature [8 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00807644
Contributor : Amaury Mouchet <>
Submitted on : Tuesday, September 17, 2013 - 8:04:38 AM
Last modification on : Thursday, February 7, 2019 - 2:58:49 PM
Long-term archiving on : Thursday, April 6, 2017 - 9:04:46 PM

Files

wigner_hal_v2.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Amaury Mouchet. An alternative proof of Wigner theorem on quantum transformations based on elementary complex analysis. Physics Letters A, Elsevier, 2013, 377, pp.2709-2711. ⟨10.1016/j.physleta.2013.08.017⟩. ⟨hal-00807644v2⟩

Share

Metrics

Record views

1031

Files downloads

330