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Wigner's theorem on symmetries in indefinite metric spaces

✍ Scribed by L. Bracci; G. Morchio; F. Strocchi

Publisher: Springer
Year: 1975
Tongue: English
Weight: 706 KB
Volume: 41
Category: Article
ISSN: 0010-3616
DOI: 10.1007/bf01608993

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We present an analogue of Uhlhorn's version of Wigner's theorem on symmetry transformations for the case of indefinite inner product spaces. This significantly generalizes a result of Van den Broek. The proof is based on our main theorem, which describes the form of all bijective transformations on