  The momentum operator $ {\bf p} = - i {\bx \nabla} $ has radial component $
{\bf \tilde p} \equiv - i {\bf \hat{r}} ({1 \over r} \partial_r r).$ We show
that ${\bf \tilde p} $ is the space part of a 4-vector operator, the zero
component of which is a positive operator. Their eigenfunctions are localized
along an axis through the origin. The solutions of the evolution equation $ i
\partial_t \psi = {\tilde p^0} \psi $ are waves along the propagation axis.
Lorentz transformations of these waves yield the aberration and Doppler shift.
We briefly consider spin-half and spin-one representations.
