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Zerakidze, Z. and Mumladze, M. (2015) Statistical Structures and Consistent Criteria for Checking Hypotheses. LAMBERT Academic Publishing, Saarbrucken.

has been cited by the following article:

  • 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.