Different forms of the Kadanoff-Baym equations in quantum statistical mechanics
A.S. Kondratyev1,2 and N. Shahid2
1Department of Physics, Herzen State Pedagogical University of Russia 48 Moika River Embankment, St. Petersburg 191168, Russia
2Abdus Salam School of Mathematical Sciences, GC University 68-B, New Muslim Town, Lahore, Pakistan
Received January 10, 2011
A new form of the Kadanoff–Baym equations for a system of interacting particles is offered on the basis of the retarded and advanced quantum Green’s functions. The comparison of the traditional and the offered forms
of the equations allows to analyze the question to what extent Landau–Silin kinetic equations for the neutral Fermi-liquid and for the electron liquid of normal metals take into account quickly varying in space and time disturbances.
PACS: 05.20.Dd Kinetic theory; PACS: 71.10.Ay Fermi-liquid theory and other phenomenological models; PACS: 74.20.Mn Nonconventional mechanisms.