Parreira J. R.
Some Symmetry Remarks on the Ground State Configurations of the
Two Dimensional Bosonic Falicov-Kimball Model
(18K, LaTeX)
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.