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A Statistical Theory of Heavy Atoms: Asymptotic Behavior of the Energy and Stability of Matter

We give the asymptotic behavior of the ground state energy of Engel's and Dreizler's relativistic Thomas-Fermi-Weizsäcker-Dirac functional for heavy atoms for fixed ratio of the atomic number and the velocity of light. Using a variation of the lower bound, we show stability of matter.

preprint2021arXivOpen access
Heinz Siedentop
math-phmath.MP
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Heinz Siedentop

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