Progress and applications of the hyperspherical coordinate method
Abstract
The hyperspherical method as we know now stems from the pioneering work of Macek on doubly excited states of helium [J. Macek, J. Phys. B 1 (1968) 831]. It played an important role in classifying doubly excited Rydberg series according to the radial normal modes [U. Fano, Phys. Today 29 (1976) 32] of the two electrons. We review not only its application to the classification of doubly excited states but its related technical innovations that have turned the method into one of the most reliable numerical schemes for handling scattering problems for three-body systems. We take a glance at its wide applications from the low-energy electron impact ionization of H through the fast proton/antiproton impact excitation of He.
- Publication:
-
Nuclear Instruments and Methods in Physics Research B
- Pub Date:
- April 1997
- DOI:
- 10.1016/S0168-583X(96)00835-X
- Bibcode:
- 1997NIMPB.124..218W