A dual and conjugate system for \(q\)-Gaussians for all \(q\)

DOI10.1016/j.aim.2022.108834OpenAlexW4221139025MaRDI QIDQ2679890

Akihiro Miyagawa, Roland Speicher

Publication date: 26 January 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.00547

zbMATH Keywords

\(q\)-Gaussianfree Fisher information\(q\)-Fock space\(q\)-CCR

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Free probability and free operator algebras (46L54) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (2)

Conjugate variables approach to mixed q-Araki–Woods algebras: Factoriality and non-injectivity ⋮ Full solution of the factoriality question for \(q\)-Araki-Woods von Neumann algebras via conjugate variables

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