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Cecchini's transition expectations and markov chains

  • Luigi Accardi
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1396)

Abstract

Heuristically a quantum Markov chain indexed by N is a state ϕ on ⊗NB (Ba matrix algebra) whose sequence of density matrices has a local structure (corresponding to the physical intuition that the interaction Hamiltonian is nearest neighbour). In [1] two classes of such chains were constructed: the Markov chains and the generalized Markov chains. In

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Bibliography

  1. [1]
    Accardi L., Noncommutative Markov chains. In: international School of Mathematical Physics, Camerino (1974) 268–295.Google Scholar
  2. [2]
    Accardi L. Topics in Quantum Probability Physics Reports, 77(1981)169–192MathSciNetGoogle Scholar
  3. [3]
    Accardi L., A. Frigerio, J.T. Lewis, Quantum stochastic processes Publications of the Research institute for Mathematical Sciences Kyoto University 18 (1982) 97–133).Google Scholar
  4. [4]
    Accardi L., A. Frigerio, Markovian cocycles Proc. Royal Irish Acad. 83A (1983) 251–263.MathSciNetzbMATHGoogle Scholar
  5. [5]
    Cecchini C., Stochastic couplings for von Neumann algebras. cf. these proceedings.Google Scholar

Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Luigi Accardi
    • 1
  1. 1.Centro Matematico V. Volterra Dipartimento di MatematicaUniversità di Roma IIItaly

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