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

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Abstract.

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).

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Authors and Affiliations

  1. Malmö Högskola, Teknik och Samhälle, 20506 Malmö, Sweden (e-mail: Alexei.Iantchenko@ts.mah.se) , , , , , , SE

    Alexei Iantchenko

  2. Mathematik, Universität München, Theresienstrasse 39, 80333 München, Germany (e-mail: hkh@rz.mathematik.uni-muenchen.de) , , , , , , DE

    Heinz Siedentop

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  1. Alexei Iantchenko
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  2. Heinz Siedentop
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Received March 9, 2000 / Published online February 5, 2001

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Iantchenko, A., Siedentop, H. Asymptotic behavior of the one-particle density matrix of atoms at distances $Z^{-1}$ from the nucleus. Math Z 236, 787–796 (2001). https://doi.org/10.1007/PL00004851

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  • DOI: https://doi.org/10.1007/PL00004851

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