  We consider directional correlations between M-particles on a line. For
non-interacting particles we find analytic asymptotic expressions. When
delta-interaction is introduced in the model we study the Fourier analysis and
obtain general analytic formula for the wave function of the walk in the case M
is 2 for the transformation C-delta, which can be considered an unfactorized
version of the Hadamard walk in two-dimensions.
