Number of particle and charge fluctuations in semiclassical two-component plasmas

An analytical expression for pseudopotential taking into account both quantum-mechanical diffraction and screening field effects is obtained with quadratic accuracy in the ratio of the thermal de Broglie wavelength and the Debye radius. Major features of particles number and electric charge fluctuations in dense high-temperature plasmas are investigated in the framework of semiclassical approach based on the introduction of effective potentials, embracing quantum-mechanical effects of diffraction. It is shown that the diffraction effects lead to the increase of averaged quadratic fluctuations of particle number and electric charge that are one of the most probable mechanism of plasma oscillations generation in interiors of the main sequence stars. It is demonstrated that electric charge fluctuations in semiclassical plasmas, as well as in classical plasmas with Coulomb interaction potential disappear in microscopic volumes whose size is comparable to the Debye radius. (author)