Asymptotics of the ground state energy in the relativistic settings and with self-generated magnetic field

Victor Ivrii

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arXiv · 1708.07737

Asymptotics of the ground state energy in the relativistic settings and with self-generated magnetic field

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, with the self-generated magnetic field, 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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Victor Ivrii. 2017-08-23. Asymptotics of the ground state energy in the relativistic settings and with self-generated magnetic field. https://arxiv.org/abs/1708.07737

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