  We study electronic transport through a quantum point contact, where the
interaction between the electrons is approximated by a contact potential. Our
numerical approach is based on the non-equilibrium Green function technique
which is evaluated at Hartree-Fock level. We show that this approach allows us
to reproduce relevant features of the so-called "0.7 anomaly" observed in the
conductance at low temperatures, including the characteristic features in
recent shot noise measurements. This is consistent with a spin-splitting
interpretation of the process, and indicates that the "0.7 anomaly" should also
be observable in transport experiments with ultracold fermionic atoms.
