V. Ivrii

collaborators

5 papers

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-ph2019

Strong Scott Conjecture

Victor Ivrii

In heavy atoms and molecules, on the distances $a ≪ Z^{- 1/3}$ from one of the nuclei (with a charge $Z_{m}$ ) we prove that $ρ_{Ψ} (x)$ is approximated in $L^{p}$ -norm, by the electronic…

math-ph2019

Upper Estimates for Electronic Density in Heavy Atoms and Molecules

Victor Ivrii

We derive an upper estimate for electronic density $ρ_{Ψ} (x)$ in heavy atoms and molecules. While not sharp, on the distances $≳ Z^{- 1}$ from the nuclei it is still better than…

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…