On Operators Generated by Density Matrix

Abstract: In this survey the possible approaches to the description of the evolution of states of quantum many-particle systems by means of the possible modifications of the density operator which kernel known as density matrix are considered. In addition, an approach to the description of the evolution of states by means of the state of a typical particle of a quantum system of many particles is discussed or in other words, the foundations of describing the evolution of states by kinetic equations are considered.