Equation of state of the weakly degenerate one-component plasma

Starting from a general quantum statistical formula for the pressure in terms of thermodynamic Green's functions, different contributions to the equation of state (EOS) for the one component plasma (OCP) are given analytically and by numerical calculations. Exact results for the EOS of a quantum electron gas are presented in the shape of a low density expansion up to the order (ne2)52 including ladder type contributions and “beyond Montroll-Ward” terms.