06-218 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 (51K, LaTeX2e) Aug 8, 06

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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.

Files: 06-218.src( 06-218.keywords , decaypositivityArXiv.tex )