Hartree-Fock approximation for non-Coulomb interactions in three and two-dimensional systems

We analyzed the Hartree-Fock approximation for an electron system. The interaction between particles is modeled by a non-Coulombian potential. We analyzed both the three-dimensional and two-dimensional systems. We obtained accurate analytical results for the particle energy, the particle velocity, the ground state energy of the system as well as the momentum dependent density of states. The previous classical results for the Coulombian case were reobtained as particular cases. •We calculated, in the jellium model, the particle Hartree-Fock energy for non-Coulomb interactions.•We determined the scaled ground state energy of the system.•The momentum dependent density of states was calculated.•We analyzed both, the three and the two-dimensional systems.•Classical Coulombian results were obtained as particular cases.