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

Energy spectrum of pseudospin-electron model in the dynamical mean-field theory