Bounded perturbations of the Heisenberg commutation relation via dilation theory

DOI10.1090/proc/16456arXiv2208.07388OpenAlexW4353109974MaRDI QIDQ6106062

Orr Moshe Shalit, Malte Gerhold

Publication date: 27 June 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.07388

zbMATH Keywords

dilationsnoncommutative torimatrix rangefree unitaries

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Groups and semigroups of linear operators (47D03) Dilations, extensions, compressions of linear operators (47A20) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Cites Work

• Perturbations of the rotation \(C^*\)-algebras and of the Heisenberg commutation relation
• Continuous perturbations of noncommutative Euclidean spaces and tori
• Quantum Theory for Mathematicians
• Dilations of q-Commuting Unitaries
• Dilations of unitary tuples
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