In this article, we
proposed a method for describing the evolution of quantum physical systems. We define
the action integral on the functional space and the entropy of distribution of
observable values on the set of quantum states. Dynamic of quantum system in
this article is described as dynamical system represented by one parametric semi
group which is extremal of this action integral. Evolution is a chain of change
of distribution of observable values. In the closed system, it must increase entropy. Based on the notion of entropy
of distribution energy, on the principle of maximum entropy production, we get
a picture of evolution of closed quantum systems.
Mumladze, M. and Zerakidze, Z. (2015) The Criteria of Checking Hypotheses of Quantum States of Quantum Physical System. Journal of Algebra, Number Theory: Advances and Applications, 14, 57-67.