Correlation Correction to the Thomas-Fermi-Dirac Statistical Model of Condensed Matter

Abstract

Effect of the correlation energy on the Thomas-Fermi-Dirac statistical model of the condensed matter is studied systematically by means of a perturbation method. The pressure curves are obtained with main interest in the low pressure region where the correlation effect is appreciable. The instability of the statistical model occurring at a certain negative pressure is discussed in connection with the thermodynamical stability of electron gas in the outermost region of the Wigner-Seitz sphere, and with the binding problem for an aggregate of atoms at zero pressure.