CALCULATIONS OF PHOTOIONIZATION CROSS SECTIONS USING THE COMPLEX CORDINATE
METHOD AND THE LANCZOS ALGORITHM

Hiroya Suno$^\S$, Lidija Andric$^\S$, Tasko P. Grozdanov$^\S$$^\P$ and
Ronald McCarroll$^\S$

$^\S$Laboratoire de Dynamique des Ions, Atomes et Mol=E9cules (ESA 7066 du
CNRS), Universit=E9 Pierre et Marie Curie,
4 place Jussieu, 75252-Paris Cedex 05, France
$^\P$Institute of Physics, P.O. Box, 11001 Belgrade, Yugoslavia

A new method, using complex coordinates, is proposed to determine
photoionization cross sections of atoms without the need to calculate
explicitly the continuum wave functions. Key elements in the calculations
are the use of a discrete variable representation together with a variant
of the Lanczos iterative diagonalization procedure.