 06193 S ren Fournais (Paris Sud), Maria HoffmannOstenhof (Vienna University), Thomas stergaard S rensen (Aalborg University)
 Third derivative of the oneelectron density at the nucleus
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Jul 5, 06

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Abstract. We study electron densities of eigenfunctions of atomic Schroedinger operators. We prove the existence of rho~'''(0), the third derivative of the spherically averaged atomic density rho~ at the nucleus. For eigenfunctions with corresponding eigenvalue below the essential spectrum we obtain the bound rho~'''(0) \leq (7/12)Z^3 rho~(0), where Z denotes the nuclear charge. This bound is optimal.
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