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A Markov dilation of a non-quasifree Bloch evolution

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Publication:796057
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DOI10.1007/BF01205506zbMath0543.46042MaRDI QIDQ796057

N. E. Zubov

Publication date: 1983

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


zbMATH Keywords

dynamical systemdilationMarkov propertyconservativefaithful normal state*-automorphisms\(weak^*\) continuous representationnon-quasifree Bloch evolution equations


Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Noncommutative dynamical systems (46L55) Dilations, extensions, compressions of linear operators (47A20) States of selfadjoint operator algebras (46L30)


Related Items (6)

Markov dilations on \(W^ *\)-algebras ⋮ Markovianity and the Thompson monoid \(F^+\) ⋮ Quantum \(K\)-systems ⋮ Markovianity and the Thompson group \(F\) ⋮ Markov dilations and quantum detailed balance ⋮ Clustering for algebraic \(K\)-systems



Cites Work

  • Completely positive quasi-free maps on the CAR algebra
  • Dilation of a non-quasifree dissipative evolution
  • Generalized K-flows
  • Dilations of positive operators: construction and ergodic theory
  • Quasi-free generalized K-flows
  • On the standard form of the Bloch equation
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