Calculation of Quasi-one-dimensional Interacting Electron Gas Using the Hartree-Fock Method

In this paper, the Hartree-Fock method has been formulated to investigate some of the ground state properties of quasi-one-dimensional interacting electron gas in the presence of the magnetic field. The bare coulomb interaction between electrons has been assumed. For this system, we have also computed some of its thermodynamic and magnetic properties such as the energy, pressure, incompressibility, spin-polarization and magnetic susceptibility for different values of the magnetic field. Based on the results, the total energy increases by increasing the density for all relevant magnetic fields. The system becomes more stable by increasing the magnetic field. The system also shows  a phase transition at high magnetic fields.