Transport theory with non-local corrections

A kinetic equation which combines the quasiparticle drift of Landauʹs equation with a dissipation governed by a nonlocal and non-instant scattering integral in the spirit of Sniderʹs equation for gases is derived. Consequent balance equations for the density, momentum and energy include quasiparticle contributions and the second order quantum virial corrections and are proven to be consistent with the conservation laws.