Parreira J. R.
Some Symmetry Remarks on the Ground State Configurations of the 
Two Dimensional Bosonic Falicov-Kimball Model
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ABSTRACT.  We show that the ground state configuration of the nuclei in a system 
composed by itinerant bosons described by the Falicov-Kimball Hamiltonian 
in two dimensions is composed by symmetric intervals centered on 
$45^{\circ}$-lines on the cartesian plane. This adds up to the previous 
result about this problem which asserted symmetry of intervals with 
centered on the coordinate axii. The combination of these facts strongly 
suggest the convexity of nuclear distributions.