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Wigner’s Theorem in <i>s</i>* and <i>s<sub>n</sub>(H)</i> Spaces
Department of Mathematics, Tianjin University of Technology, Tianjin, China
Department of Mathematics, Tianjin University of Technology, Tianjin, China
- 1 Department of Mathematics, Tianjin University of Technology, Tianjin, China
- 2 Department of Mathematics, Tianjin University of Technology, Tianjin, China
American Journal of Computational Mathematics·Volume 08 (2018)·Pages 209–221·Published 31 August 2018·DOI10.4236/ajcm.2018.83017
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Abstract
Wigner theore m is the cornerstone of the mathematical formula of quan-tum mechanics, it has promoted the research of basic theory of quantum mechanics. In this article, we give a certain pair of functional equations between two real spaces s or two real s n (H) , that we called “phase isometry”. It is obtained that all such solutions are phase equivalent to real linear isometries in the space s and the space s n (H) .
Keywords<i>s</i>SpaceWigner’s TheoremPhase EquivalentLinear Isometry<i>s<sub>n</sub>(H)</i>Space
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