Some consequences of the thermal Hartree-Fock approximation at zero temperature

Jeffrey B. Sokoloff

N. David Mermin

N. David Mermin

W. Kramarczyk

Г. М. Филиппов

Helmut Hofmann

Abstract This chapter formulates the Hartree-Fock approximation with density matrices, and discusses the properties of the Hartree-Fock equations together with the energy functional for the ground state energy. A generalization to finite thermal excitations is performed by applying the variational principle to the grand canonical ensemble. Finally, the equations for time-dependent Hartree-Fock (TDHF) are described both at zero and at finite temperature.