Analyticity of the one-particle density matrix

Abstract

It is proved that the one-particle density matrix $\gamma (x,y)$ for multi-particle systems is analytic away from the nuclei and from the diagonal $x=y$.

arXiv comment31 pages. Compared to the previous version, the introduction has been rewritten, presentation in Sect. 4,5 has been improved

References in corpus (6)

• 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
• Universal Functionals in Density Functional Theory
• A new proof of the analyticity of the electronic density of molecules
• Pointwise estimates on derivatives of Coulombic wave functions and their electron densities

Cited by in corpus (1)

• The diagonal behaviour of the one-particle Coulombic density matrix