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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★ 1 cited
Eigenvalue Bounds for Multi-Particle Reduced Density Matrices of Coulombic Wavefunctions
Peter Hearnshaw
For bound states of atoms and molecules of electrons we consider the corresponding -particle reduced density matrices, , for . Previously, eigenval…
math-ph2023
Boundedness of the Fifth Derivative for the One-Particle Coulombic Density Matrix at the Diagonal
Peter Hearnshaw
Boundedness is demonstrated for the fifth derivative of the one-particle reduced density matrix for non-relativistic Coulombic wavefunctions in the vicinity of the diagonal. To pro…