Symmetry transformations in indefinite metric spaces. A generalization of Wigner’s theorem. (English) Zbl 0599.20072
We formulate and prove a generalization to indefinite metric spaces of Uhlhorn’s version of Wigner’s theorem.
MSC:
| 20G45 | Applications of linear algebraic groups to the sciences |
| 15A04 | Linear transformations, semilinear transformations |
References:
| [1] | Wigner, E. P., Group Theory and its Applications to the Quantum Mechanics of Atomic Spectra (1959), Academic Press: Academic Press New York · Zbl 0085.37905 |
| [2] | Bracci, L.; Morchio, G.; Strocchi, F., Commun. Math. Phys., 41, 289 (1975) · Zbl 0303.46022 |
| [3] | Uhlhorn, U., Arkiv för Fysik, 23, 307 (1963) |
| [4] | van den Broek, P. M., Physica, 122A, 587 (1983) · Zbl 0591.53069 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
