Quasi-free semigroups on the CCR algebra

DOI10.1016/S0034-4877(10)80031-XzbMath1250.46047OpenAlexW2014036446WikidataQ57723039 ScholiaQ57723039MaRDI QIDQ540809

Mario Hellmich

Publication date: 3 June 2011

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(10)80031-x

zbMATH Keywords

quantum dynamical semigroupCCR algebraquasi-free semigroup

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in quantum physics (46N50) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (2)

Many Unstable Particles from an Open Quantum System's Perspective ⋮ Markovian master equations for quantum-classical hybrid systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Continuity and generators of dynamical semigroups for infinite Bose systems
• Quantum dynamical semigroups and applications. (Based on Lectures given at the 20th Symposium on Theoretical Chemistry held 1984 in Emmetten, Switzerland)
• The theory of open systems in application to unstable particles
• Completely positive quasi-free maps of the CCR-algebra
• Markovian master equations
• On the generators of quantum dynamical semigroups
• Some semigroups of completely positive maps on the CCR algebra
• Completely positive maps on the CCR-algebra
• The smallest C\(^*\)-algebra for canonical commutation relations
• Generalized Mehler semigroups and applications
• Generalized Mehler semigroups: The non-Gaussian case
• Probability distributions on locally compact Abelian groups
• The \(C^ *\)-algebras of a free Boson field
• Semigroups of operators in locally convex spaces
• Quasi-equivalence of quasi-free states on the Weyl algebra
• On factor representations and the \(C^ *\)-algebra of canonical commutation relations
• Quantum dynamical semigroups for finite and infinite Bose systems
• [https://portal.mardi4nfdi.de/wiki/Publication:4070065 The L�vy-Hin?in representation of negative definite functions]

This page was built for publication: Quasi-free semigroups on the CCR algebra