Self-consistent field equations for the dipole moments of point polarizable atoms in slabs of cubic lattices with a uniform applied electric field are constructed. Results of Toeplitz operator theory are used to characterize the ranges of atomic polarizability for which there are unique...

The ground-state energy of a low-density hard-disk bose gas is analysed with a variational calculation. An upper bound, using a Jastrow trial function, and a lower bound are obtained which show the same leading functional dependence and hence the dependence of the lead term in the ground-state...