Journal
LETTERS IN MATHEMATICAL PHYSICS
Volume 93, Issue 1, Pages 73-83Publisher
SPRINGER
DOI: 10.1007/s11005-010-0401-9
Keywords
elliptic regularity; analytic elliptic regularity; molecular Hamiltonian; electronic density; Coulomb potential
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Funding
- french ANR [NONAa]
- european GDR [DYNQUA]
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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 Poincar,, 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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