Wigner symmetries and Gleason’s theorem *

DOI10.1088/1751-8121/ac0d35OpenAlexW3169125684MaRDI QIDQ5877266

Peter Šemrl

Publication date: 10 February 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.06182

zbMATH Keywords

symmetryGleason's theoremWigner's unitary-antiunitary theorem

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Selected preserver problems on algebraic structures of linear operators and on function spaces
• Orthogonality preserving transformations on the set of \(n\)-dimensional subspaces of a Hilbert space
• Generalization of Wigner's unitary-antiunitary theorem for indefinite inner product spaces
• Wigner's theorem on Grassmann spaces
• Symmetries of Projective Spaces and Spheres
• Wigner-Type Theorems for Hilbert Grassmannians
• Automorphisms of Hilbert space effect algebras
• Transformations on the set of all \(n\)-dimensional subspaces of a Hilbert space preserving principal angles
• An elementary proof for the non-bijective version of Wigner's theorem
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