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Positivity of the spherically averaged atomic one-electron density
Authors:S. Fournais  M. Hoffmann-Ostenhof  T. Hoffmann-Ostenhof  T. Østergaard Sørensen
Affiliation:1.CNRS and Laboratoire de Mathématiques,Université Paris-Sud - Bat 425,Orsay Cedex,France;2.Fakult?t für Mathematik,Universit?t Wien,Vienna,Austria;3.Institut für Theoretische Chemie,Universit?t Wien,Vienna,Austria;4.The Erwin Schr?dinger International Institute for Mathematical Physics,Vienna,Austria;5.Mathematisches Institut,Universit?t München,Munich,Germany;6.Department of Mathematical Sciences,University of Aarhus,Aarhus C,Denmark;7.Department of Mathematical Sciences,Aalborg University,Aalborg East,Denmark
Abstract:We investigate the positivity of the spherically averaged atomic one-electron density $$widetilde rho(r)$$. For a $$widetilde rho$$ which stems from a physical ground state we prove that $$widetilderho(r) > 0$$ for r ≥ 0. This article may be reproduced in its entirety for non-commercial purposes.
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