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Hyperspherical Description of Two-Electron Systems

  • Anthony F. Starace
Part of the NATO ASI Series book series (NSSB, volume 181)

Abstract

While the use of hyperspherical coordinates to describe two-electron systems is quite old,1–8 it was Macek’s9 introduction of a quasi-separable approximation in hyperspherical coordinates which made possible a host of theoretical studies elucidating the symmetries of doubly-excited states and the dynamics of processes involving two-electron atoms and ions. This work, up to about mid 1982, has been reviewed by Fano.10 However, much additional progress has been made since 1982, particularly on the symmetries of doubly excited electronic states, on the correspondences with molecular descriptions of two-electron systems, on the limitations of the quasi-separable approximation at small and at large distances, and on the hyperspherical descriptions of systems with an arbitrary number of electrons. It is the purpose of this and the next three papers, then, to present an updated review of our current theoretical understanding of electron correlations.

Keywords

Wave Function Photoionization Cross Section Rydberg Series Coupling Matrix Element Photoabsorption Spectrum 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Press, New York 1988

Authors and Affiliations

  • Anthony F. Starace
    • 1
  1. 1.Department of Physics and AstronomyThe University of NebraskaLincolnUSA

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