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The Electron Density is Smooth Away from the Nuclei

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Abstract

We prove that the electron densities of electronic eigenfunctions of atoms and molecules are smooth away from the nuclei.

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Author notes

  1. Søren Fournais

    Present address: Laboratoire de Mathématiques, Université Paris-Sud, Bât 425, 91405, Orsay Cedex, France

  2. Thomas Østergaard Sørensen

    Present address: Department of Mathematical Sciences, Aalborg University, Fredrik BajersVej 7G, 9220, Aalborg East, Denmark

Authors and Affiliations

  1. The Erwin Schrödinger International Institute for Mathematical Physics, Boltzmanngasse 9, 1090, Vienna, Austria

    Søren Fournais, Thomas Hoffmann-Ostenhof & Thomas Østergaard Sørensen

  2. Institut für Mathematik, Universität Wien, Strudlhofgasse 4, 1090, Vienna, Austria

    Maria Hoffmann-Ostenhof

  3. Institut für Theoretische Chemie, Universität Wien, Währingerstrasse 17, 1090, Vienna, Austria

    Thomas Hoffmann-Ostenhof

Authors
  1. Søren Fournais
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  2. Maria Hoffmann-Ostenhof
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  3. Thomas Hoffmann-Ostenhof
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  4. Thomas Østergaard Sørensen
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Corresponding author

Correspondence to Thomas Hoffmann-Ostenhof.

Additional information

Communicated by B. Simon

Søren Fournais: Supported by the Carlsberg Foundation and European Union TMR grant FMRX-CT 96-0001

Thomas Hoffmann-Ostenhof: Supported by Ministerium für Wissenschaft und Verkehr der Republik Österreich and European Union TMR grant FMRX-CT 96-0001

Thomas Østergaard Sørensen: Supported by European Union TMR grant FMRX-CT 96-0001 and the Austrian Science Foundation, grant number P12864-MAT

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Fournais, S., Hoffmann-Ostenhof, M., Hoffmann-Ostenhof, T. et al. The Electron Density is Smooth Away from the Nuclei. Commun. Math. Phys. 228, 401–415 (2002). https://doi.org/10.1007/s002200200668

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  • DOI: https://doi.org/10.1007/s002200200668

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