Projektdetaljer
Beskrivelse
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.
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.
| Status | Afsluttet |
|---|---|
| Effektiv start/slut dato | 01/09/2006 → 31/12/2011 |
Samarbejdspartnere
- Universität Wien (Projektpartner)
- Universität Wien und Erwin Schrödinger Institut (Projektpartner)
- Université Paris-Sud (Projektpartner)
Finansiering
- <ingen navn>
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