Dispersion and uncertainty in multislit matter wave diffraction
  We show that single and multislit experiments involving matter waves may be constructed to assess correlations between the position and momentum of a single free particle. These correlations give rise to position dependent phases which develop dynamically and may play an important role in the interference patterns. For large enough transverse coherence lenght such interference patterns are noticeably different from those of a classical dispersion free wave. 
G. Glionna, A. H. Blin, B. Hiller, M. C. Nemes, Marcos Sampaio, A. F.   R. de Toledo Piza