English

Analyticity of the one-particle density matrix

Mathematical Physics 2022-01-28 v2 Analysis of PDEs math.MP

Abstract

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

Keywords

Cite

@article{arxiv.2006.11785,
  title  = {Analyticity of the one-particle density matrix},
  author = {Peter Hearnshaw and Alexander V. Sobolev},
  journal= {arXiv preprint arXiv:2006.11785},
  year   = {2022}
}

Comments

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