We present the complete set of N=1, D=4 quantum algebras associated to
massive superparticles. We obtain the explicit solution of these algebras
realized in terms of unconstrained operators acting on the Hilbert space of
superfields. These solutions are expressed using the chiral, anti-chiral and
tensorial projectors which define the three irreducible representations of the
supersymmetry on the superfields. In each case the space-time variables are
non-commuting and their commutators are proportional to the internal angular
momentum of the representation. The quantum algebra associated to the chiral or
the anti-chiral projector is the one obtained by the quantization of the
Casalbuoni-Brink-Schwarz (superspin 0) massive superparticle. We present a new
superparticle action for the (superspin 1/2) case and show that their wave
functions are the ones associated to the irreducible tensor multiplet.Comment: 20 pages;changes in the nomenclatur
