A New Proof of the Analyticity of the Electronic Density of Molecules

作者：Jecko Thierry^*

来源：Letters in Mathematical Physics, 2010, 93(1): 73-83.

DOI：10.1007/s11005-010-0401-9

• elliptic regularity
• analytic elliptic regularity
• molecular Hamiltonian
• electronic density
• Coulomb potential

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.

• 出版日期2010-7