The Thomas-Fermi Theory at Finite Temperature Including Weizsäcker and Correlation Corrections: Temperature Green’s Function Formalism

Abstract

The Thomas-Fermi theory of an atom at finite temperatures is developed with the help of the temperature Green’s function. The electron density and the Helmholtz free energy density of the atom in equilibrium is expressed as a function of the self-consistent potential energy.
The inhomogeneity correction to the kinetic free energy is proved to be the same as that given by Perrot. The exchange and the correlation energy in ring diagram approximation is also incorpolated in the statistical model.