Abstract
We present a new set of massless Poincaré 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 Poincaré group operators of helicity
s=0,±
1
2
,±1...
The position vector
r
is the space part of a null 4-vector.