Statistical Theory of the Atom in Momentum Space

Details Statistical Theory of the Atom in Momentum Space Statistical Theory of the Atom in Momentum Space

2011-08-09

arxiv.org/abs/1108.1944v1

Physics

Mathematical Physics

Scientific paper

We investigate the momentum energy functional for atoms found by Englert
(1992) who also discussed the relation to the Thomas-Fermi functional. We give
a proof for the fact that the momentum functional yields upon minimization the
same value as the well known Thomas-Fermi functional. In fact, we show an
explicit relation between the minimizers of the functionals.

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