A statistical theory of heavy atoms: Asymptotic behavior of the energy and stability of matter
Heinz Siedentop
Ludwig-Maximilians-Universität München, Germany; Munich Center for Quantum Science and Technology (MCQST), Germany
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Abstract
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.