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Limited regularity of a specific electronic reduced density matrix for molecules

Mathematical Physics 2024-11-22 v3 math.MP

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 prove that the (N-1)-particle electronic reduced density matrix is not smooth. To appear in Advances in Theoritical and Mathematical Physics.

Keywords

Cite

@article{arxiv.2309.06318,
  title  = {Limited regularity of a specific electronic reduced density matrix for molecules},
  author = {Thierry Jecko and Camille Noûs},
  journal= {arXiv preprint arXiv:2309.06318},
  year   = {2024}
}

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33 pages