Asymptotics of the ground state energy in the relativistic settings and with self-generated magnetic field
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Publication:6290514
arXiv1708.07737MaRDI QIDQ6290514
Publication date: 23 August 2017
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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