The electron densities of pseudorelativistic eigenfunctions are smooth away from the nuclei

Details The electron densities of pseudorelativistic eigenfunctions are smooth away from the nuclei The electron densities of pseudorelativistic eigenfunctions are smooth away from the nuclei

2008-11-27

arxiv.org/abs/0811.4537v1

Physics

Mathematical Physics

16 pages

Scientific paper

We consider a pseudorelativistic model of atoms and molecules, where the
kinetic energy of the electrons is given by $\sqrt{p^2+m^2}-m$. In this model
the eigenfunctions are generally not even bounded, however, we prove that the
corresponding one-electron densities are smooth away from the nuclei.

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