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Local and global properties of eigenfunctions and one-electron densities of Coulombic Schrödinger operators

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  • Søren Fournais
  • Maria Hoffmann-Ostenhof, Universitat Wien, Østrig
  • Thomas Hoffmann-Ostenhof, Universitat Wien, Østrig
  • Thomas Østergaard Sørensen, Danmark
  • Institut for Matematiske Fag
We review recent results by the authors on the regularity of molecular eigenfunctions ψ and their corresponding one-electron densities ρ, as well as of the spherically averaged one-electron atomic density ρ. Furthermore, we prove an exponentially decreasing lower bound for ρ in the case when the eigenvalue is below the essential spectrum. This result also holds when the Hamiltonian is restricted to symmetry subspaces
OriginalsprogEngelsk
TidsskriftA I P Conference Proceedings Series
Sider (fra-til)70-84
Antal sider15
ISSN0094-243X
DOI
StatusUdgivet - 2008
BegivenhedQuantum Few-Body Systems - Aarhus, Danmark
Varighed: 17 dec. 2010 → …

Konference

KonferenceQuantum Few-Body Systems
LandDanmark
ByAarhus
Periode17/12/2010 → …

Bibliografisk note

Udgivelsesdato: April 3
Volumne: 998

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