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Published in:
2019 | OriginalPaper | Chapter
Asymptotics of the Ground State Energy in the Relativistic Settings
Author : Prof. Victor Ivrii
Published in: Microlocal Analysis, Sharp Spectral Asymptotics and Applications V
Publisher: Springer International Publishing
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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.