Positivity and lower bounds to the decay of the atomic one-electron density

Details Positivity and lower bounds to the decay of the atomic one-electron density Positivity and lower bounds to the decay of the atomic one-electron density

2006-08-08

arxiv.org/abs/math-ph/0608022v1

Physics

Mathematical Physics

20 pages

Scientific paper

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.

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