A New Proof of the Analyticity of the Electronic Density of Molecules
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.
- Publication:
-
Letters in Mathematical Physics
- Pub Date:
- July 2010
- DOI:
- 10.1007/s11005-010-0401-9
- arXiv:
- arXiv:0904.0221
- Bibcode:
- 2010LMaPh..93...73J
- Keywords:
-
- Mathematical Physics;
- Mathematics - Analysis of PDEs
- E-Print:
- doi:10.1007/s11005-010-0401-9