  The pseudospin-electron model in the case of infinite on-site electron
repulsion is investigated. The electron energy spectrum is calculated within
the framework of the dynamical mean field theory (DMFT), and the alloy analogy
approximation is developed. The effect of the pseudospin-electron interaction,
local asymmetry field, and tunneling-like level splitting on the existence and
the number of electron subbands is investigated. The relation of the
pseudospin-electron model to the problem of energy spectrum of boson-fermion
mixtures in optical lattices is discussed.
