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 Schrodinger 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 Schrodinger
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.