Long range atomic potentials in Thomas-Fermi theory |
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| Authors: | Haim Brezis Elliott H Lieb |
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| Institution: | (1) Department de Mathématiques, Université Paris VI, F-75230 Paris Cedex 05, France;(2) Departments of Mathematics and Physics, Princeton University, 08540 Princeton, New Jersey, USA |
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| Abstract: | We prove that the interaction among neutral atoms in Thomas-Fermi theory behaves, for large separationl, like l
–7. The constant is independent of the atomic nuclear charges, but does depend on the relative positions of the nuclei. We also show that  is not a simple sum of pair terms, i.e. in TF theory three and higher body terms persist into the asymptotic (inl) region.Work partially supported by U.S. National Science Foundation grant MCS 75 21684 A02 |
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