August Bjerg

collaborators

3 papers

math-ph2025

The angular momentum distribution of electrons in large atoms and its deviation from Madelung's rule

August Bjerg, Søren Fournais, Peter Hearnshaw +1

We show that the angular momentum distribution of neutral atoms, in the sense of occupation numbers, follows the Thomas-Fermi angular momentum distribution in the limit of large at…

math-ph2024

Periodicity of atomic structure in a Thomas-Fermi mean-field model

August Bjerg, Jan Philip Solovej

We consider a Thomas-Fermi mean-field model for large neutral atoms. That is, Schrödinger operators $H_{Z}^{TF} = - Δ - Φ_{Z}^{TF}$ in three-dimensional space, where $Z$ is th…

math-ph2024

A short proof of a strong Weyl law in dimension 1

August Bjerg

For the Dirichlet realization of $- d^{2} / d x^{2} - λ^{2} V$ on a bounded interval, with $V$ a positive $C^{2}$ potential bounded away from $0$ and $λ > 0$ a large parameter, we prove an asymptot…