Threshold eigenstates for atoms

  • Sørensen, Thomas Østergaard (Project Participant)
  • Fournais, Søren (Project Participant)
  • Hoffmann-Ostenhof, Maria (Project Participant)
  • Hoffmann-Ostenhof, Thomas (Project Participant)

Project Details


It is known that for a certain (sufficiently large) coupling constant in the
electron-electron interaction, there is a bound state at the bottom of the
essential spectrum for the (non-relativistic) Hamiltonian of Helium. This
eigenstate only decays as exp(-c*sqrt(|x|)) and not, as usually, exp(-c*|x|).
Generally, for eigenstates of Helium below the essential spectrum, it is known
that the eigenfunction at infinity factorizes as a product of the corresponding
one-electron density, and the ground state of Hydrogen.

In this project we plan to study these questions for general atoms.
Effective start/end date01/09/200631/12/2011


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