Mathematische Zeitschrift

, Volume 236, Issue 4, pp 787–796 | Cite as

Asymptotic behavior of the one-particle density matrix of atoms at distances $Z^{-1}$ from the nucleus

  • Alexei Iantchenko
  • Heinz Siedentop
Orignial article


We prove that the suitably rescaled density matrix of ground states of atomic Schrödinger operators with nuclear chargeZ converges on the scale 1/Z to the projection of the negative spectral subspace of the Schrödinger operator of the hydrogen atom (Z=1).


Hydrogen Hydrogen Atom Asymptotic Behavior Density Matrix Spectral Subspace 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Alexei Iantchenko
    • 1
  • Heinz Siedentop
    • 2
  1. 1.Malmö Högskola, Teknik och Samhälle, 20506 Malmö, Sweden (e-mail: SE
  2. 2.Mathematik, Universität München, Theresienstrasse 39, 80333 München, Germany (e-mail: DE

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