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 |
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