A new estimate on the indirect Coulomb Energy
  We prove a new lower bound on the indirect Coulomb energy in quantum mechanics in terms of the single particle density of the system. The new universal lower bound is an alternative to the classical Lieb--Oxford bound (with a smaller constant, 1.45 < 1.68) but involving an additive kinetic energy term of the single particle density. 
Rafael D. Benguria, Gonzalo Bley and Michael Loss
math-ph math.MP quant-ph