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Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 110, Number 1, Pages 46–60
DOI: https://doi.org/10.4213/tmf951 (Mi tmf951) 		 
This article is cited in 13 scientific papers (total in 13 papers)

On the generators of quantum stochastic evolution equations

V. P. Belavkin

Nottingham Trent University
Full-text PDF (287 kB) Citations (13)
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DOI: https://doi.org/10.4213/tmf951
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
English version:
Theoretical and Mathematical Physics, 1997, Volume 110, Issue 1, Pages 35–46
DOI: https://doi.org/10.1007/BF02630367
Bibliographic databases:
Language: Russian
Citation: V. P. Belavkin, “On the generators of quantum stochastic evolution equations”, TMF, 110:1 (1997), 46–60; Theoret. and Math. Phys., 110:1 (1997), 35–46
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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