The diagonal behaviour of the one-particle Coulombic density matrix

Abstract

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

arXiv comment32 pages

References in corpus (8)

• Sharp regularity results for many-electron wave functions
• The electron density is smooth away from the nuclei
• Analytic structure of many-body Coulombic wave functions
• Electron Wavefunctions and Densities for Atoms
• Regularity for eigenfunctions of Schrödinger operators
• Eigenvalue asymptotics for the one-particle kinetic energy density operator
• Analyticity of the one-particle density matrix
• A regularity result for the bound states of $N$-body Schrödinger operators: Blow-ups and Lie manifolds

Cited by in corpus (2)

• High ground state overlap via quantum embedding methods
• Regularity of the (N-1)-particle electronic reduced density matrix for molecules with fixed nuclei and N electrons