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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115009We 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.20 pagesMathematical Physics81V45, 81Q05 (primary), 35J10, 35B04, 35B40 (secondary)Positivity and lower bounds to the decay of the atomic one-electron densitytext