Generalized quantum kinetic equation for interacting particles with quantum statistics

Анотація

For initial states of many-particle systems obeying Fermi-Dirac or Bose-Einstein statistics, which are given in terms of a one-particle marginal density operator, the equivalence of the Cauchy problem of the quantum BBGKY hierarchy, and the Cauchy problem of the generalized quantum kinetic equation for bosons and fermions is established. The existence of a strong and a weak solution of the Cauchy problem of stated quantum kinetic equation is proved in the space of trace class operators.