Sturmian functions in a L2 basis: critical nuclear charge for N-electron atoms

A.L. FRAPICCINI, G. GASANEO, F. D. COLAVECCHIA, AND D. MITNIK

Roma, Italia

Conferencia; International Conference on Many particle spectroscopy of atoms, molecules, clusters and surfaces; 2006

ICPEAC

Two particle Sturmian functions [1,2] for a short range potentials were obtained by expanding the solution to the Schrodinger equation in a finite L2 Laguerre-type basis, leading to a discrete set of eigenvalues for both positive and negative energies. The functions were chosen to satisfy certain boundary conditions, such as regularity at the origin and the correct asymptotic behavior according to the energy domain: exponential decay (bound states) for negative energy and outgoing (or incoming or standing wave) for positive energy. The Sturmian functions thus obtained were used in the negative energy domain to solve the Schrodinger equation for a one-particle model potential to describe the motion of a loosely bound electron in a multielectron atom. Values of the two parameters of the potential were computed to represent the He-isoelectronic series and the critical nuclear charge Zc was found, in good agreement with other calculations.