Richter, Klaus and Wintgen, Dieter (1993) Intra-shell states of doubly excited atoms: diagonalization within a basis of symmetrically excited electrons. Journal of Physics B: Atomic, Molecular and Optical Physics 26 (21), pp. 3719-3737.
Other URL: http://stacks.iop.org/0953-4075/26/3719
We calculate S intra-shell wavefunctions of highly doubly excited two- electron atoms by diagonalizing the corresponding Hamiltonian in a Sturmian-type basis set representing symmetrically excited electrons. We take into account couplings between different intra-shell manifolds. The Z-dependence of the energies of all intra-shell states up to principal quantum numbers N=n=12 is examined. We investigate the nodal structure of the wavefunctions in the manifold N=8 for nuclear charges Z=2 and Z=10 to examine the validity of the Herrick classification scheme. It turns out that this scheme appropriately describes the structure of the lower states in the multiplets but it breaks down for the higher lying states. A comparison with wavefunctions from large-scale calculations reveals that the intra-shell diagonalization overestimates the radial independent-electron character of the wavefunctions. A semiclassical interpretation of the wavefunctions is given in terms of fundamental modes of the electron-pair motion.
|Institutions:||Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter|
|Subjects:||500 Science > 530 Physics|
|Refereed:||No, this version has not been refereed yet (as with preprints)|
|Created at the University of Regensburg:||Yes|
|Deposited On:||20 Mar 2007|
|Last Modified:||20 Jul 2011 20:57|