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On the generators of quantum stochastic evolution equations

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Abstract

A description is given for the stochastic bounded generators of quantum irreversible wave equations. The general form of quantum stochastic evolution with respect to Poisson (jumps), Wiener (diffusion), and general quantum noise is presented. The corresponding irreversible Heisenberg evolution is expressed in terms of completely positive stochastic maps. The general form of the stochastic equation for the completely dissipative equation is developed for the first time.

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Authors and Affiliations

  1. Mathematics Department, University of Nottingham, NG7 2RD, UK

    V. P. Belavkin

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  1. V. P. Belavkin
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 110, No. 1, pp. 46–60, January, 1997.

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Belavkin, V.P. On the generators of quantum stochastic evolution equations. Theor Math Phys 110, 35–46 (1997). https://doi.org/10.1007/BF02630367

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  • DOI: https://doi.org/10.1007/BF02630367

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