IAFE   05512
INSTITUTO DE ASTRONOMIA Y FISICA DEL ESPACIO
Unidad Ejecutora - UE
artículos
Título:
Sturmiam functions in a L^2 basis: Critical nuclear charge for N-electron atoms
Autor/es:
A.L. FRAPICCINI, G. GASANEO, F.D. COLAVECCHIA, D. MITNIK
Revista:
JOURNAL OF ELECTRON SPECTROSCOPY AND RELATED PHENOMENA
Editorial:
Elsevier
Referencias:
Lugar: Amsterdam, Holanda; Año: 2006
ISSN:
0368-2048
Resumen:
Two particle Sturmian functions [M. Rotenberg, Ann. Phys., NY 19 (1962) 262; S.V. Khristenko, Theor. Math. Fiz. 22 (1975) 31 (Engl. Transl. Theor. Math. Phys. 22, 21)] for a short range potentials are obtained by expanding the solution of the Schršodinger equation in a finite L2 Laguerretype basis. These functions are chosen to satisfy certain boundary conditions, such as regularity at the origin and the correct asymptotic behavior according to the energy domain: exponential decay for negative energy and outgoing (incoming or standing wave) for positive energy. The set of eigenvalues obtained is discrete for both positive and negative energies. This Sturmian basis is used to solve the Schršodinger equation for a one-particle model potential [A.V. Sergeev, S. Kais, J. Quant. Chem. 75 (1999) 533] to describe the motion of a loosely bound electron in a multielectron atom. Values of the two parameters of the potential are computed to represent the Helium isoelectronic series and the critical nuclear charge Zc is found, in good agreement with previous calculations.