V. Ivrii

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math.SP2019

Thomas-Fermi approximation to electronic density

Victor Ivrii

In heavy atoms and molecules, on the distances $a ≫ Z^{- 1}$ from all of the nuclei (with a charge $Z_{m}$ ) we prove that $ρ_{Ψ} (x)$ is approximated in $L^{p}$ -norm, by the Thomas-Fermi…

math.SP2017

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

Victor Ivrii

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…

math.SP2017

Asymptotics of the ground state energy in the relativistic settings

Victor Ivrii

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 re…