  The purpose of this work is to find the time dependent distributions of
directions and positions of a particle that undergoes multiple elastic
scattering. The angular cross section is given and the scatterers are randomly
placed. The distribution of directions is found. As for the second distribution
we find an exact expression for isotropic cross section in 2 dimensions. For
the same cross section we find its Fourier-Laplace transform in 3 dimensions.
For the general case we devise a method to compute the Fourier-Laplace
transform with arbitrary precision. This work is based not on the Boltzmann
transport equation but on an integral equation formulation of the problem. The
results are general in the sense that any initial condition is a linear
combination of the cases considered in this article.
