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On multi-dimensional markovian cocycles

Part of the Lecture Notes in Mathematics book series (LNM,volume 1396)

Abstract

Under a weak differentiability condition quantum Markov cocycles on Fock space satisfy quantum stochasticdifferential equations of the form where {Fαβ} is a matrix of operators with common dense domain, Λαβ are the basic martingles of Hudson-Parthasarathy calculus in n-dimensions and Λoo is time.

Keywords

  • Springer Lecture Note
  • Wiener Space
  • Quantum Brownian Motion
  • Quantum Stochastic Calculus
  • Quantum Stochastic Differential Equation

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Address until September 1988: Indian Statistical Institute, 7, SJS Sansanwal Marg, New Delhi-110016 where this author is a Royal Society, London — Indian National Science Academy Exchange Visitor.

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References

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© 1989 Springer-Verlag

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Accardi, L., Journé, J.L., Lindsay, J.M. (1989). On multi-dimensional markovian cocycles. In: Accardi, L., von Waldenfels, W. (eds) Quantum Probability and Applications IV. Lecture Notes in Mathematics, vol 1396. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083543

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  • DOI: https://doi.org/10.1007/BFb0083543

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