Are almost-symmetries almost linear?

DOI10.1063/1.5087539zbMath1421.81053arXiv1812.10019OpenAlexW3101393585MaRDI QIDQ5234073

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Publication date: 9 September 2019

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

Full work available at URL: https://arxiv.org/abs/1812.10019

zbMATH Keywords

Wigner's symmetry theorem

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Quantum state spaces, operational and probabilistic concepts (81P16)

Cites Work

• Two elementary proofs of the Wigner theorem on symmetry in quantum mechanics
• Almost isometries of balls
• Universality and optimality in the information-disturbance tradeoff
• Stability of the Wigner equation -- a singular case
• On mappings approximately preserving orthogonality
• Rotation and strain
• A remark on quasi-isometries
• A derivation of quantum theory from physical requirements
• Metric versions of Herstein's theorems on Jordan maps
• Note on Wigner's Theorem on Symmetry Operations
• An elementary proof for the non-bijective version of Wigner's theorem

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