title: Space-time versus particle-hole symmetry in quantum Enskog equations.
abstract: The nonlocal scattering-in and scattering-out integrals of the Enskog equation have reversed displacements of colliding particles reflecting that the scattering-in and -out processes are conjugated by the space and time inversions. Generalizations of the Enskog equation to Fermi liquid systems are hindered by the need for particle-hole symmetry which contradicts the reversed displacements. We resolve this problem with the help of the optical theorem. It is found that space-time and particle-hole symmetry can be fulfilled simultaneously only for the Bruckner type of internal Pauli blocking while the Feynman-Galitskii form allows only for particle-hole symmetry but not for space-time symmetry due to a stimulated emission of bosons.
authors.affiliation: Institute of Physics, Academy of Sciences, Cukrovarnická 10, 16200 Praha 6, Czech Republic.
authors.forename: V
authors.initials: V
authors.lastname: Spicka
authors.forename: K
authors.initials: K
authors.lastname: Morawetz
authors.forename: P
authors.initials: P
authors.lastname: Lipavský