A new estimate on the indirect Coulomb Energy

Details A new estimate on the indirect Coulomb Energy A new estimate on the indirect Coulomb Energy

2011-03-10

arxiv.org/abs/1103.2162v1

Physics

Mathematical Physics

LaTex, 8 pages

Scientific paper

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.

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