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Matematicheskie Zametki, 2008, Volume 84, Issue 3, Pages 395–408
DOI: https://doi.org/10.4213/mzm5542 (Mi mzm5542) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The Stochastic Baker–Hausdorff Formula and Its Applications to Quantum Relaxation Processes

A. M. Sinev

N. E. Bauman Moscow State Technical University
Full-text PDF (471 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm5542
Abstract: In this paper, we consider the stochastic analog of the Baker–Hausdorff formula for operators satisfying the canonical commutation relations. This formula can be used to obtain an exact solution to the problem of the dynamics of a quantum system interacting with the environment.
Keywords: stochastic Baker–Hausdorff formula, quantum relaxation process, Ito formula, diffusion process, Wiener process, Riccati equation, Radon–Nikodym derivative.
Received: 14.05.2008
English version:
Mathematical Notes, 2008, Volume 84, Issue 3, Pages 367–378
DOI: https://doi.org/10.1134/S0001434608090071
Bibliographic databases:
UDC: 517.958
Language: Russian
Citation: A. M. Sinev, “The Stochastic Baker–Hausdorff Formula and Its Applications to Quantum Relaxation Processes”, Mat. Zametki, 84:3 (2008), 395–408; Math. Notes, 84:3 (2008), 367–378
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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