The diagonal behaviour of the one-particle Coulombic density matrix

TL;DR

This paper derives bounds on all derivatives of the Coulombic one-particle density matrix near the diagonal, providing detailed mathematical insights into its local behavior.

Contribution

It introduces new bounds for derivatives of the Coulombic density matrix near the diagonal, advancing understanding of its local properties.

Findings

Bounds for derivatives of the density matrix near the diagonal

Mathematical characterization of local behavior

Enhanced understanding of Coulombic systems

Abstract

We obtain bounds for all derivatives of the non-relativistic Coulombic one-particle density matrix $\gamma(x, y)$ near the diagonal $x = y$.