Geodesic
The Stochastic Baker--Hausdorff Formula and Its Applications to Quantum Relaxation Processes
Matematičeskie zametki, Tome 84 (2008) no. 3, pp. 395-408

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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, Wiener process, Radon–Nikodym derivative.
Mots-clés : Ito formula, diffusion process, Riccati equation 
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     author = {A. M. Sinev},
     title = {The {Stochastic} {Baker--Hausdorff} {Formula} and {Its} {Applications} to {Quantum} {Relaxation} {Processes}},
     journal = {Matemati\v{c}eskie zametki},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2008_84_3_a6/}
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A. M. Sinev. The Stochastic Baker--Hausdorff Formula and Its Applications to Quantum Relaxation Processes. Matematičeskie zametki, Tome 84 (2008) no. 3, pp. 395-408. http://geodesic.mathdoc.fr/item/MZM_2008_84_3_a6/