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
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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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© 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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