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Higher order Ito product formula and generators of evolutions and flows

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Abstract

A simple combinatorial formula is found for the product of two iterated quantum stochastic integrals, and used to find conditions that such an integral represent a unitary-valued or*-algebra homomorphism-valued process.

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Authors and Affiliations

  1. URA 747 CNRS, Collège de France, 75005, Paris, France

    P. Beazley Cohen

  2. Mathematics Department, University of Nottingham, NG7 24D, Nottingham, UK

    T. M. W. Eyre & R. L. Hudson

Authors
  1. P. Beazley Cohen
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  2. T. M. W. Eyre
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  3. R. L. Hudson
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Beazley Cohen, P., Eyre, T.M.W. & Hudson, R.L. Higher order Ito product formula and generators of evolutions and flows. Int J Theor Phys 34, 1481–1486 (1995). https://doi.org/10.1007/BF00676257

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  • DOI: https://doi.org/10.1007/BF00676257

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