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arXiv · 1108.1944

Statistical Theory of the Atom in Momentum Space

Verena von Conta·Heinz Siedentop
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Abstract

We investigate a semiclassical momentum density energy functional for atoms and show that it yields the same value as the well-known Thomas-Fermi functional. In fact, we show an explicit relation between the minimizers of the two functionals. The main result is that the atomic momentum density converges on the scale $Z^{2/3}$ to the minimizer of the momentum density energy functional. This allows to determine the linear response of atoms on momentum dependent perturbations.

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Verena von Conta, Heinz Siedentop. 2011-08-09. Statistical Theory of the Atom in Momentum Space. https://arxiv.org/abs/1108.1944

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