  Consider the 3-dimensional Laplacian with a potential described by point
scatterers placed on the integer lattice. We prove that for Floquet-Bloch modes
with fixed quasi-momentum satisfying a certain Diophantine condition, there is
a subsequence of eigenvalues of positive density whose eigenfunctions exhibit
equidistribution in position space and localisation in momentum space. This
result complements the result of Uebersch\"{a}r and Kurlberg who show momentum
localisation for zero quasi-momentum in 2-dimensions, and is the first result
in this direction in 3-dimensions.
