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

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dc.creatorFournais, Søren
dc.creatorHoffmann-Ostenhof, Maria
dc.creatorHoffmann-Ostenhof, Thomas
dc.creatorSørensen, Thomas Østergaard
dc.date2006-08-08
dc.date.accessioned2026-07-07T07:20:37Z
dc.date.available2026-07-07T07:20:37Z
dc.descriptionWe 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.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0608022
dc.identifierhttp://arxiv.org/abs/math-ph/0608022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115009
dc.subjectMathematical Physics
dc.subject81V45, 81Q05 (primary), 35J10, 35B04, 35B40 (secondary)
dc.titlePositivity and lower bounds to the decay of the atomic one-electron density
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