Wigner-type theorems for projections

DOI10.1007/s10773-007-9368-4zbMath1145.81008OpenAlexW2131708752MaRDI QIDQ2426155

Georges Chevalier

Publication date: 21 April 2008

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-007-9368-4

zbMATH Keywords

Wigner's theoremLattices of subspacesOrthomodular poset

Mathematics Subject Classification ID

Applications of functional analysis in quantum physics (46N50) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (2)

Wigner's theorem for an infinite set ⋮ Two elementary proofs of the Wigner theorem on symmetry in quantum mechanics

Cites Work

• Wigner's theorem on symmetries in indefinite metric spaces
• Wigner-type theorem on symmetry transformations in type II factors.
• Orthogonality preserving transformations on indefinite inner product spaces: Generalization of Uhlhorn's version of Wigner's theorem
• Automorphisms of the poset of skew projections
• The orthomodular poset of projections of a symmetric lattice
• Automorphisms of an orthomodular poset of projections
• Maps on idempotents
• La dualité dans les espaces vectoriels topologiques
• Ring and lattice characterizations of complex Hilbert space
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