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Stochastic Dynamics of Quantum Physical SystemsDOI: 10.4236/oalib.1103004, PP. 1-6 Subject Areas: Modern Physics Keywords: Quantum Physical System, State, Observable, Probability Measure, Statistical Structure Abstract
In this article we define and build the one method of description of stochastic evolution of a physical quantum system. For each quantum state w∈EU we construct the probability measure uw in the space (PU, S), where PU is the space of the pure states of the quantum system, S the Borel σ-algebra in PU. Farther, for any Hermit's positive element with norm ‖u‖=1, in the C*-algebra of observables U, we define the probability measure uu on the set of states EU. If strongly continuous group ｛αt｝of * automorphisms on U describes the evolution of structure of observables, according to this, we have a picture of evolution of distribution of states of quantum system relatively to each observable u.
Mumladze, M. (2016). Stochastic Dynamics of Quantum Physical Systems. Open Access Library Journal, 3, e3004. doi: http://dx.doi.org/10.4236/oalib.1103004. References
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