Regularity of the (N-1)-particle electronic reduced density matrix for molecules with fixed nuclei and N electrons

Abstract

We consider an electronic bound state of the usual, non-relativistic, molecular Hamiltonian with Coulomb interactions, fixed nuclei, and N electrons (N>1). Near appropriate electronic collisions, we determine the regularity of the (N-1)-particle electronic reduced density matrix. Published in Letters in Mathematical Physics.

Published in Letters in Mathematical Physics

References in corpus (7)

• Geometric methods for nonlinear many-body quantum systems
• The electron density is smooth away from the nuclei
• Analytic structure of many-body Coulombic wave functions
• Current Densities in Density Functional Theory
• Eigenvalue asymptotics for the one-particle kinetic energy density operator
• The diagonal behaviour of the one-particle Coulombic density matrix
• Limited regularity of a specific electronic reduced density matrix for molecules