  We have limited our interaction scope to those involving particle-s spin. We
then develop operators for handling a many-body treatment of the spin
interactions. The results presented show how to promote the particles of the
system into the same spin state with time. We therefore, in order to tune the
model for ferro-magnetism, assume that the operators act only on particles that
are, initially, of the same spin state. The observed growth in the population
of particles of the same spin with time makes the model a success. Almost all
of the recent experimentally observed and theoretically predicted formations
are accurately obtainable with this model.
