8 citations · 15 across the 5 of their papers we have counts for
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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…
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…
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…
The diagonal behaviour of the one-particle Coulombic density matrix
Peter Hearnshaw, Alexander V. Sobolev
We obtain bounds for all derivatives of the non-relativistic Coulombic one-particle density matrix near the diagonal .
Analyticity of the one-particle density matrix
Peter Hearnshaw, Alexander V. Sobolev
It is proved that the one-particle density matrix for multi-particle systems is analytic away from the nuclei and from the diagonal .