The dynamic model of the charged particles interaction in non-ideal semiclassical plasma is presented. This model takes into account the quantum mechanical diffraction effect and the dynamic screening effect. On the basis of the dynamic interaction potential, the electron scattering cross sections are investigated. Comparison with the results obtained on the basis of other models and conclusions were made.

The electron-atom interaction taking account of dynamic screening is considered in the dense partially ionized plasmas. The phase-function method is used. It is shown that the phase shifts and differential cross sections of the electron scattering on the helium and argon atoms, calculated taking account of dynamic screening, are bigger than those obtained on the basis of the static interaction potential. This can have an influence on macroscopic properties such as transport coefficients.

New results on the dynamical conductivity and dynamical collision frequency of dense semiclassical hydrogen plasmas on the basis of the effective interaction potential (taking into account screening and diffraction effects) are presented. The electron density $n_e$ and temperature T vary in the domains ${10}^{21}\hspace{0.17em}{\text{cm}}^{-3}<n_e<{10}^{24}\hspace{0.17em}{\text{cm}}^{-3}$ and ${10}^4\hspace{0.17em}\mathrm{K}<T<{10}^6\hspace{0.17em}\mathrm{K}$ , correspondingly. A semiclassical method has been used for the calculation of the collision frequency. Using a generalized Drude formula, the dynamical conductivity has been investigated. The influence of electron-electron interactions was taken into account at the level of collision frequency via a renormalization factor. The results of the dynamical conductivity show good agreement with the data of other authors, notably with the molecular-dynamics simulation, which also includes electron-electron interactions.

Elastic scattering of electrons by hydrogen atoms in a dense semiclassical hydrogen plasma for low impact energies has been studied. Differential scattering cross sections were calculated within the effective model of electron-atom interaction taking into account the effect of screening as well as the quantum mechanical effect of diffraction. The calculations were carried out on the basis of the phase-function method. The influence of the diffraction effect on the Ramsauer–Townsend effect was studied on the basis of a comparison with results made within the effective polarization model of the Buckingham type.