The relativistic Hartree-Fock-Approximation for finite temperatures and its semiclassical expansion

Abstract

A derivation of the relativistic Hartree-Fock-Approximation for finite temperatures is given by utilizing a thermodynamic extremum principle for the construction of an approximate (thermal HF-) hamiltonian of single-particle structure. By use of the Wigner transform one can obtain the so-called quasi-classical expansion of the theory; i.e. the thermal Thomas-Fermi theory plus quantum corrections. The details are illustrated for the Walecka Lagrangian density.