Some semigroups of completely positive maps on the CCR algebra

DOI10.1016/0022-1236(77)90021-0zbMath0375.46052OpenAlexW2012851788MaRDI QIDQ1246124

K. Appert

Publication date: 1977

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(77)90021-0

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) General theory of (C^*)-algebras (46L05) Miscellaneous applications of functional analysis (46N99)

Related Items (21)

Quantum dynamical semigroups, symmetry groups, and locality ⋮ Quantum dynamical semigroups for finite and infinite Bose systems ⋮ Many Unstable Particles from an Open Quantum System's Perspective ⋮ Generators of dynamical semigroups ⋮ Unnamed Item ⋮ Completely positive quasi-free maps on the CAR algebra ⋮ Non-equilibrium states of a photon cavity pumped by an atomic beam ⋮ Unnamed Item ⋮ Quasi-free semigroups on the CCR algebra ⋮ Gaussian quantum stochastic processes on the CCR algebra ⋮ Dynamical semigroup for unbounded repeated perturbation of an open system ⋮ Quantum detailed balance and KMS condition ⋮ Dirichlet forms and Markov semigroups on \(C^*\)-algebras ⋮ Quasi-free generalized K-flows ⋮ Stationary states of quantum dynamical semigroups ⋮ A class of dissipative evolutions with applications in thermodynamics of fermion systems ⋮ Central limits of product mappings between CAR-algebras ⋮ Asymptotic behaviour of time-inhomogeneous evolutions on von Neumann algebras ⋮ Quantum central limit theorems for weakly dependent maps. II ⋮ Quantum central limit theorems for weakly dependent maps. I ⋮ Conditional entropy in algebraic statistical physics

Cites Work

• Mathematical characterization of the physical vacuum for a linear Bose- Einstein field
• On the generators of quantum dynamical semigroups
• Dilations of dynamical semigroups
• On factor representations and the \(C^ *\)-algebra of canonical commutation relations
• Foundations of the Theory of Dynamical Systems of Infinitely Many Degrees of Freedom, II
• Hamiltonian Formalism and the Canonical Commutation Relations in Quantum Field Theory
• Some contraction semigroups in quantum probability
• Positive Functions on C ∗ -Algebras

This page was built for publication: Some semigroups of completely positive maps on the CCR algebra