Quantum-statistical mechanics of a system of charged particles at high temperatures

Abstract

If a quantum-mechanical potential is introduced the calculation of the quantummechanical binary distribution function for a system with Coulomb interaction is reduced to the well-known mathematical formalism of classical statistical mechanics in the case ofnλ³≪1 (λ being the thermal wavelength). The two-particle quantummechanical potential is determined by the two-particle Slater sum.

In this paper we calculated the two-particle Slater sum using an expansion according toe ² and the resolvent formalism. From the binary distribution function the correlation energy and the free energy as well were determined up to ordere ⁶. Symmetry effects were taken into account.