Quantum corrections to the distribution function of particles over momentum in dense media

A simple derivation of the Galitskii–Yakimets distribution function over momentum is presented. For dense plasmas it contains the law ∼p−8 as a quantum correction to the classical Maxwellian distribution function at large momenta. The integral equation for the width of the spectral distribution of kinetic Green functions is analyzed. The asymptotic behavior of the quantum corrections to the distribution function of particles is expressed via the Fourier transform of the wave function in the external potential. It is shown that the asymptotic power law for the distribution function over momentum is also correct for a non-equilibrium at the external electrical and laser fields.