Wave packet realization of lightlike states

We construct a new realization of lightlike particle states. The realization considered corresponds to objects which form partially localized wave packets in the space dimensions transverse to the direction of the lightlike momentum. The states of the transverse motion are classified by the representations of an algebraSU(1, 1) constructed of the generators of the conformal group. It is conjectured that this realization is suitable for the formulation of the parton-model of hadrons.Research supported in part by the U.S. Atomic Energy Commission under Contract No. AT(30-1)-4076.