Limited regularity of a specific electronic reduced density matrix for molecules
Résumé
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.
Mots clés
Analytic regularity molecular Hamiltonian electronic reduced densities electronic reduced density matrices Coulomb potential Kustaanheimo-Stiefel transform
Analytic regularity
molecular Hamiltonian
electronic reduced densities
electronic reduced density matrices
Coulomb potential
Kustaanheimo-Stiefel transform
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