Asymptotics of the ground state energy in the relativistic settings

Victor Ivrii

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arXiv · 1707.07014

Asymptotics of the ground state energy in the relativistic settings

Victor Ivrii

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Abstract

The purpose of this paper is to derive sharp asymptotics of the ground state energy for the heavy atoms and molecules in the relativistic settings, and, in particular, to derive relativistic Scott correction term and also Dirac, Schwinger and relativistic correction terms. Also we will prove that Thomas-Fermi density approximates the actual density of the ground state, which opens the way to estimate the excessive negative and positive charges and the ionization energy.

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BibTeX RIS

Victor Ivrii. 2017-07-21. Asymptotics of the ground state energy in the relativistic settings. https://arxiv.org/abs/1707.07014

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