SOME SYMMETRY REMARKS ON THE GROUND-STATE CONFIGURATIONS OF THE 2-DIMENSIONAL BOSONIC FALICOV-KIMBALL MODEL

We show that the ground-state configuration of the nuclei in a system composed by itinerant bosons in two dimensions described by the Falico v-Kimball Hamiltonian is composed by symmetric intervals centered on 4 5 degrees lines on the Cartesian plane. This adds up to the previous r esult about this problem which asserted symmetry of intervals centered on the coordinate axes. The combination of these facts strongly sugge st the convexity of the nuclear distributions.