  Studying the jellium model in the Hartree-Fock approximation, Overhauser has
shown that spin density waves (SDW) can lower the energy of the Fermi gas, but
it is still unknown if these SDW are actually relevant for the phase diagram.
In this paper, we give a more complete description of SDW states. We show that
a modification of the Overhauser ansatz explains the behavior of the jellium at
high density compatible with previous Hartree-Fock simulations.
