Sturmian approach to single photoionization of many electron atoms and molecules

The application of generalized Sturmian functions to the study of single photoionization of different atomic and molecular systems is illustrated using model potentials. Sturmian functions have been used successfully to study single and double ionization by electron impact on He, while their implementation to molecular systems is still under development. The radial part of the scattering function is expanded in a generalized Sturmian basis. The solution of the resulting matrix problem provides the expansion coefficients. The latter yield directly the photoionization transition amplitude and thus the cross sections. Here we show our preliminary results for He and Ne atoms on one hand, and for CH₄ and H₂O molecules on the other. (paper)