# A Fortran 90 program to solve the Hartree–Fock equations for interacting spin- 1 2 fermions confined in harmonic potentials

## Description

Abstract A set of weakly interacting spin- 1 2 Fermions, confined by a harmonic oscillator potential, and interacting with each other via a contact potential, is a model system which closely represents the physics of a dilute gas of two-component fermionic atoms confined in a magneto-optic trap. In the present work, our aim is to present a Fortran 90 computer program which, using a basis set expansion technique, solves the Hartree–Fock (HF) equations for spin- 1 2 Fermions confined by a three-di... Title of program: trap.x Catalogue Id: AEBB_v1_0 Nature of problem The simplest description of a spin ½ trapped system at the mean field level is given by the Hartree-Fock method. This program presents an efficient approach to solving these equations. Additionally, this program can solve for time-independent Gross-Pitaevskii and Hartree-Fock equations for bosonic atoms confined in a harmonic trap. Thus the combined program can handle mean-field equations for both the fermi and the bose particles. Versions of this program held in the CPC repository in Mendeley Data AEBB_v1_0; trap.x; 10.1016/j.cpc.2008.04.004 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)