  We present a new set of massless Poincar\'e group operators Hermitian with
respect to the $ 1 / r $ inner product space, which have quasi-plane wave
energy-momentum eigenfunctions having velocity $ c $ along their axis of
propagation. These are constructed by means of a unitary transformation from a
known set of massless Poincar\'e group operators of helicity $ s = 0, \pm {1
\over 2}, \pm 1 ... $ The position vector $ {\bf r} $ is the space part of a
null 4-vector.
