arXiv:2101.06539 Abstract | arXiv Analytics

arXiv:2101.06539 [math-ph]Abstract References Reviews Resources

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

Published 2021-01-16Version 1

We give the asymptotic behavior of the ground state energy of Engel's and Dreizler's relativistic Thomas-Fermi-Weizs\"acker-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.

Categories: math-ph, math.MP

Subjects: 81V45

Keywords: asymptotic behavior, heavy atoms, statistical theory, ground state energy, atomic number

Related articles: Most relevant | Search more

arXiv:1601.05272 [math-ph] (Published 2016-01-20)

Asymptotic behavior of the ground state energy of a Fermionic Fröhlich multipolaron in the strong coupling limit

Ioannis Anapolitanos, Michael Hott

arXiv:0707.3988 [math-ph] (Published 2007-07-26)

Minimizing the ground state energy of an electron in a randomly deformed lattice

Jeff Baker, Michael Loss, Günter Stolz

arXiv:1408.0230 [math-ph] (Published 2014-08-01, updated 2014-08-04)

Asymptotic Behavior of Manakov Solitons: Effects of Potential Wells and Humps