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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1997 Volume 110, Number 1, Pages 46–60 (Mi tmf951)

This article is cited in 13 papers

On the generators of quantum stochastic evolution equations

V. P. Belavkin

Nottingham Trent University

Abstract: A characterisation of the stochastic bounded generators of quantum irreversible wave equations is given. This suggests the general form of quantum stochastic evolution with respect to the Poisson (jumps), Wiener (diffusion) or general Quantum Noise. The corresponding irreversible Heisenberg evolution in terms of stochastic completely positive maps is found and the general form of the stochastic completely dissipative operator equation is discovered.

Received: 22.09.1995
Revised: 23.07.1996

DOI: 10.4213/tmf951


 English version:
Theoretical and Mathematical Physics, 1997, 110:1, 35–46

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