Quasiclassical Statistical Thermodynamics and New Pade Approximations for the Free Charges in Strongly-Coupled Plasma

HNC equations in combination with effective quasi-classical potentials are used to calculate correlation functions and the thermodynamic properties of the free charges in semi-classical non-degenerate quantum plasmas. The interactions of the free particles are taken into account via effective potentials obtained from the Slater sum method. Analytical formulae reproducing the known limits and the HNC-results are constructed. Finally quantum effects are included as corrections by using known analytical results. This method is used to de-velope new Pade approximations for the subsystem of the free charges in mass-symmetrical as well as for mass-unsymmetrical hydrogen-like plasmas. The most essential result of our investigations is, that in the classical limit the scaling properties correspond to the OCP, e.g. the thermodynamic functions follow for large coupling strength (gamma) a Berlin-Montroll-Rosenfeld asymptotics via oF + b(gamma)(nu) +cIn(gamma)+d. Including quantum effects, the coefficients depend on the temperature, e.g. the slope a(T) increases with decreasing T converging to the classical limit. The new formulae are compared with earlier variants.