허재성
2018-03-27T04:54:29Z
2018-03-27T04:54:29Z
2011-01
PQ QP, 2011, 27, P.90-124
https://www.worldscientific.com/doi/abs/10.1142/9789814338745_0005
http://hdl.handle.net/20.500.11754/52959
We review the basic concepts of quantum stochastic analysis using the universal Ito B*-algebra approach. The thermal quantum white noise as a noncommutative analog of the Levy-Ito process is characterized in terms of the modular B*-Ito algebra. The main notions and results of classical and quantum stochastics are reformulated in this unifying approach. The Belavkin master equation for a quasi-Markov quantum stochastic dynamics on the predual space of a W*-algebra is presented as a noncommutative version of the Zakai equation driven by the modular quantum white noise. This is done by the noncommutative analog of the Girsanov transformation which we introduce in full QS generality.Read More: https://www.worldscientific.com/doi/abs/10.1142/9789814338745_0005
en
Singapore; World Scientific
Quantum Ito algebra
White Noise Analysis
Girsanov Transformation
Stochastic Master Equations
Quantum white noise analysis and quantum stochastic equations
Quantum Probability and Related Topics
Article
27
10.1142/9789814338745_0005
90-124
Belavkin, V.P
Heo, J
Ji, U.-C
S
COLLEGE OF NATURAL SCIENCES[S]
DEPARTMENT OF MATHEMATICS
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