S{\o}ren Fournais (Paris Sud), Maria Hoffmann-Ostenhof (Vienna University), Thomas Hoffmann-Ostenhof (Vienna University & ESI), Thomas {\O}stergaard S{\o}rensen (Aalborg University)
Positivity and lower bounds to the decay of the atomic one-electron density
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ABSTRACT.  We investigate properties of the spherically averaged atomic one-electron density rho~(r). For a rho~ which stems from a physical ground state we prove that rho~ > 0. We also give exponentially decreasing lower bounds to rho~ in the case when the eigenvalue is below the corresponding essential spectrum.