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The three-body Coulomb problem

par Dominique Delande - 2 juin 2009

The three-body problem is known to be in general classically chaotic. This is especially true for the dynamics of the two electrons of a Helium atom. Doubly excited states of the helium atom should thus show some chaotic features in the semiclassical limit, that is close to the double ionization threshold. We showed that the situation is actually more complicated : because of the existence of an approximate constant of motion, many states - and noticeably the ones experimentally excited by single photon absorption from the ground state - display a strong angular correlation between the electrons. Thus observing full chaos in the Helium atom would require to reach very highly excited states, around the N=30 single ionization threshold.