Abstract
We give a new proof of the regularity away from the nuclei of the electronic density of a molecule obtained by Fournais et al. (Commun. Math. Phys. 228(3):401–415, 2002; Ark. Math. 42(1):87–106, 2004). The new argument is based on the regularity properties of the Coulomb interactions underlined by Hunziker (Ann. Inst. Henri Poincaré, section A, tome 45, no. 4, pp 339–358, 1986) and by Klein et al. (Commun. Math. Phys. 143(3):607–639, 1992). Well-known pseudodifferential techniques for elliptic operators are used and the method works in a larger framework.
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Jecko, T. A New Proof of the Analyticity of the Electronic Density of Molecules. Lett Math Phys 93, 73–83 (2010). https://doi.org/10.1007/s11005-010-0401-9
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DOI: https://doi.org/10.1007/s11005-010-0401-9