Unified treatment of threshold ionsation and Cooper pair formation in 2-electron atoms.
Hubert Klar  1@  
1 : University Freiburg, Germany  (Department of Physics)  -  Website
Hermann-Herder-Strasse 3, 79098 Freiburg, Germany -  Germany

Within the framework of hyperspherical coordinates we solve analytically the wave equation neat total break-up. That leads to the problem solving a wave equation on a closed manifold with unknown boundary condition. We follow the nuclear drop model, and attribute forces on the boundary to surface tension. The surface is here the equator of a hemisphere which correponds to collinear particle configurations. We solve analytically the wave equation on the equator taking the fictitious force from equator tension into account. We obtain two types of solution: An incoming wave mode in which the electrons attract each other with zero total momentum. This strongly corelated electron pair is reflected from a turning surface. In the following outgoing mode of motion the pair decays. Below threshold this decay supreses all high double Ryberg sattes; above threshold this mode is the quantum version of the classical Wannier trajectory. for threhold ionization.Symmetry properties of the pair are discussed.


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