TITLE:
Stochastic Dynamics of Quantum Physical Systems
AUTHORS:
Malkhaz Mumladze
KEYWORDS:
Quantum Physical System, State, Observable, Probability Measure, Statistical Structure
JOURNAL NAME:
Open Access Library Journal,
Vol.3 No.9,
September
28,
2016
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 observablesU, 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.