Quasi-free states and automorphisms of the CCR-algebra

DOI10.1007/BF01609051zbMath0338.46050MaRDI QIDQ1231142

Mark Fannes

Publication date: 1976

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

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Linear operators in ({}^*)-algebras (47C10)

Related Items

On reconstruction of states from evolution induced by quantum dynamical semigroups perturbed by covariant measures, Classical entropy of quasi-free states, Squeezing of free Bose fields, Dynamical semigroup for unbounded repeated perturbation of an open system, Completely positive maps on the CCR-algebra, Transition probabilities between quasifree states, Normal form decomposition for Gaussian-to-Gaussian superoperators, Gaussian Quantum Markov Semigroups on a One-Mode Fock Space: Irreducibility and Normal Invariant States, Characterization of Gaussian quantum Markov semigroups

Cites Work

• Unnamed Item
• Automorphisms and quasi-free states fo the CAR algebra
• Free states and automorphisms of the Clifford algebra
• The smallest C\(^*\)-algebra for canonical commutation relations
• Quasi-free states of the C.C.R.-algebra and Bogoliubov transformations
• Symmetric Hilbert spaces and related topics. Infinitely divisible positive definite functions, continuous products and tensor products, Gaussian and Poissonian stochastic processes