HOLE DYNAMICS IN GENERALIZED SPIN BACKGROUNDS IN INFINITE DIMENSIONS

We calculate the dynamical behavior of a hole in various spin backgrou nds in infinite dimensions, where it can be determined exactly. We con sider hypercubic lattices with two different types of spin backgrounds . On one hand we study an ensemble of spin configurations with an arbi trary spin probability on each sublattice. This model corresponds to a thermal average over all spin configurations in the presence of stagg ered or uniform magnetic fields. On the other hand we consider a defin ite spin state characterized by the angle between the spins on differe nt sublattices, i.e., a classical spin system in an external magnetic field. When spin fluctuations are considered, this model describes the physics of unpaired particles in strong-coupling superconductors.