Dilations of dynamical semigroups

DOI10.1007/BF01609402zbMath0402.46039OpenAlexW1983710534MaRDI QIDQ1255674

K. Appert

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1007/bf01609402

zbMATH Keywords

Dynamical SemigroupClosed Quantum Mechanical SystemIrreversible EvolutionIsometric DilationNormal EmbeddingNormal ExpectationUnitary DilationW*-Algebra

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative dynamical systems (46L55) Groups and semigroups of linear operators (47D03) Canonical models for contractions and nonselfadjoint linear operators (47A45) Linear operators in (C^*)- or von Neumann algebras (47C15) Linear operators in ({}^*)-algebras (47C10)

Related Items

Quantum dynamical semigroups, symmetry groups, and locality, Markov dilations on \(W^ *\)-algebras, The essentially commutative dilations of dynamical semigroups on \(M_ n\), Non-Markovian quantum stochastic processes and their entropy, Completely positive quasi-free maps on the CAR algebra, Dilation theory: a guided tour, COVARIANT GNS REPRESENTATION FOR OPEN C*-DYNAMICAL SYSTEMS, Some Mathematical Problems Related to Classical-Quantum Interactions, Completely positive linear mappings, non-Hamiltonian evolution, and quantum stochastic processes, Irreversible dynamics of infinite Fermion systems, Quantum dynamical semigroups and the neutron diffusion equation, Irreducible quantum dynamical semigroups, Some semigroups of completely positive maps on the CCR algebra, Dirichlet forms and Markov semigroups on \(C^*\)-algebras, Quasi-free generalized K-flows, Properties of quantum Markovian master equations, Frobenius theory for positive maps of von Neumann algebras, Unitary dilations of discrete-time quantum-dynamical semigroups, The induced semigroup of Schwarz maps to the space of Hilbert-Schmidt operators, Master equations: A survey of rigorous results, Ergodic dilation of a quantum dynamical system, Some remarks on dilating semigroups of completely positive mappings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• General state changes in quantum theory
• Positive linear maps on operator algebras
• On the generators of quantum dynamical semigroups
• One-parameter semigroups of isometric operators in Hilbert space
• Some contraction semigroups in quantum probability
• Isometric flows on Hilbert space
• Quantum stochastic processes