V. Ivrii

activity

20102019

most citedLocal trace asymptotics in the self-generated magnetic field

3 citations · 10 across the 13 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.SP2019★ 2 cited

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★ 3 cited

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…