On the theory of high-frequency permittivity of a fully ionized plasma I: Electron-ion interaction pseudopotential and rules of sum

In the context of the electron-ion interaction potential, a rigorous description is given of the permittivity E >(omega) of a fully ionized plasma in the frequency range omega a parts per thousand <<, Where (nu) over tilde (ei) is the characteristic electron-ion collision frequency. The interaction and degeneration effects in the electron and ion subsystems are systematically taken into account. The asymptotics of the effective collision frequency nu(omega) and the renormalization function gamma(omega) for the plasma frequency are found, and the rules of sums for the permittivity E >(omega) are determined.