A description of the evolution of quantum states by means of the kinetic equation

作者：Gerasimenko V I^*; Tsvir Zh A

来源：Journal of Physics A-Mathematical and Theoretical, 2010, 43(48): 485203.

DOI：10.1088/1751-8113/43/48/485203

We develop a rigorous formalism for describing the evolution of states of quantum many-particle systems in terms of a one-particle density operator. For initial states which are specified in terms of a one-particle density operator, the equivalence of the description of the evolution of quantum many-particle states by the Cauchy problem of the quantum Bogolyubov-Born-Green-Kirkwood-Yvon hierarchy, and by the Cauchy problem of the generalized quantum kinetic equation, together with a sequence of explicitly defined functionals of a solution of a stated kinetic equation, is established in the space of trace-class operators. The links between the specific quantum kinetic equations with the generalized quantum kinetic equation are discussed.

• 出版日期2010-12-3