Generalized quantum kinetic equation for interacting particles with quantum statistics (Q2850485)

The authors deal with evolution of states of quantum many-particle systems for the case where the interacting particles obeying Bose-Einstein or Fermi-Dirac statistics. They construct a solution of the Cauchy problem of the quantum BBGKY hierarchy for bosons and fermions. Their main result establishes a link between the quantum BBGKY hierarchy and the generalized quantum kinetic equation for bosons and fermions. A solution of the Cauchy problem of the obtained generalized quantum kinetic equation is constructed and the existence of a strong and a weak solution is proved in the space of trace class operators.