4 - Wigner’s Theorem and Its Generalizations
Published online by Cambridge University Press: 06 January 2020
Summary
Classical Wigner’s theorem characterizes unitary and anti-unitary operators as symmetries of pure states of quantum mechanical systems, i.e. rank one projections. We consider a non-injective version of Wigner’s theorem as well as Uhlhorn’s version concerning orthogonality preserving transformations and describe variousextensions of these results onto other Grassmannians.
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- Wigner-Type Theorems for Hilbert Grassmannians , pp. 68 - 101Publisher: Cambridge University PressPrint publication year: 2020