THE HEAT FLOW OF THE CCR ALGEBRA

DOI10.1112/S0024609301008396zbMath1032.46083arXivmath/0005250OpenAlexW2155517004WikidataQ126261156 ScholiaQ126261156MaRDI QIDQ3152343

William Arveson

Publication date: 22 October 2002

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0005250

zbMATH Keywords

derivationscanonical commutation relations\(E_0\)-semigroup

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Noncommutative probability and statistics (46L53) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Quantizations, deformations for selfadjoint operator algebras (46L65) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (8)

On the product system of a completely positive semigroup ⋮ The asymptotic lift of a completely positive map ⋮ ASYMPTOTIC STABILITY I: COMPLETELY POSITIVE MAPS ⋮ The existence problem for dynamics of dissipative systems in quantum probability ⋮ CP-semigroups and dilations, subproduct systems and superproduct systems: the multi-parameter case and beyond ⋮ A Survey on Invariance and Ergodicity of Quantum Markov Semigroups ⋮ Recurrence and Transience of Quantum Markov Semigroups ⋮ Cocycles for one-parameter flows of \(\mathfrak B(\mathfrak h)\)

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