Trials to improve the continuum wavefunctions of auger electrons emitted from aluminium and oxygen ions using a least squares variational technique

The least-squares variational method is employed in order to derive iterative improvements upon the wavefunctions of Auger electrons emitted by Aluminum and Oxygen ions. The Auger electrons are considered free electrons seen by the remaining target and not as in the conventional Hartree - Fock programmes through which the continuum wavefunction of the Auger electron was determined by assuming that it occurs in a relatively higher excited state of the related bound system and this proceeds towards the real physical picture. The core potential seen by the Auger electron is evaluated on the basis of the Hartree -Fock orbitals delivered by the conventional Hartree - Fock computer codes. The Auger transition rates are calculated for different configurations of Aluminum and Oxygen ions. Our results show the stability of our variational iteration technique for improving the continuum wavefunctions and consequently the Auger rates of Auger electrons emitted from atoms or ions.