  We investigate the problem of inelastic x-ray scattering in the spin$-{1/2}$
Heisenberg model on the square lattice. We first derive a momentum dependent
scattering operator for the $A_{1g}$ and $B_{1g}$ polarization geometries. On
the basis of a spin-wave analysis, including magnon-magnon interactions and
exact-diagonalizations, we determine the qualitative shape of the spectra. We
argue that our results may be relevant to help interpret inelastic x-ray
scattering experiments in the antiferromagnetic phase of the cuprates.
