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Within the framework of density-response formalism and starting from the effective potential which simulates quantum effects of diffraction and symmetry, an expression for the longitudinal dielectric function of semiclassical two-component plasmas is proposed. On the basis of that dielectric function, the stopping power in dense, high-temperature plasmas is calculated. It is found that quantum effects lead to energy loss enhancement when the velocity of an injected particle is small enough. An analytical expression for the stopping power in electron plasmas is obtained in the case of large particle velocity.

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The equilibrium properties of the dense semiclassical hydrogen plasma are investigated by chain of Bogolyubov equations. The pseudopotential model, taking into account both shortrange quantum-mechanical effects and long-range many-particle screening ones, is proposed. The equation of state of hydrogen plasma is investigated.

The stopping power in semiclassical plasmas with electron-ion collisions is evaluated. Collisional contribution is taken into account through an imaginary correction to the expression for the longitudinal dielectric function of collisionless plasmas. It is found that the collisions between charged particles result in enhancement of ion energy losses in the plasma medium. Results obtained are compared to data available from both experiments and computer simulation methods.

A simple renormalization theory of plasma particle interactions is proposed. It primarily stems from generic properties of equilibrium distribution functions and allows one to obtain the so-called generalized Poisson-Boltzmann equation for an effective interaction potential of two chosen particles in the presence of a third one. The same equation is then strictly derived from the Bogolyubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy for equilibrium distribution functions in the pair correlation approximation. This enables one to construct a self-consistent chemical model of partially ionized plasmas, correctly accounting for the close interrelation of charged and neutral components thereof. Minimization of the system free energy provides ionization equilibrium and, thus, permits one to study the plasma composition in a wide range of its parameters. Unlike standard chemical models, the proposed one allows one to study the system correlation functions and thereby to obtain an equation of state which agrees well with exact results of quantum-mechanical activity expansions. It is shown that the plasma and neutral components are strongly interrelated, which results in the short-range order formation in the corresponding subsystem. The mathematical form of the results obtained enables one to both firmly establish this fact and to determine a characteristic length of the structure formation. Since the cornerstone of the proposed self-consistent chemical model of partially ionized plasmas is an effective pairwise interaction potential, it immediately provides quite an efficient calculation scheme not only for thermodynamical functions but for transport coefficients as well.