Asymptotics of the Ground State Energy in the Relativistic Settings

Victor Ivrii ()
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Victor Ivrii: University of Toronto, Department of Mathematics

Chapter Chapter 32 in Microlocal Analysis, Sharp Spectral Asymptotics and Applications V, 2019, pp 540-558 from Springer

Abstract: 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.

Keywords: Relativistic Schrödinger operator; Heavy atoms and Molecules; Thomas-Fermi theory; Scott correction term; Microlocal Analysis; Sharp Spectral Asymptotics; 35P20; 81Q10 (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-30561-1_32

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DOI: 10.1007/978-3-030-30561-1_32

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