par Baye, Daniel Jean 
;Goldbeter, J.;Sparenberg, Jean-Marc
Référence Physical Review A, 65, 5, page (052710)
Publication Publié, 2002
;Goldbeter, J.;Sparenberg, Jean-Marc Référence Physical Review A, 65, 5, page (052710)
Publication Publié, 2002
Article révisé par les pairs
| Résumé : | Siegert pseudostates are purely outgoing states at some fixed point expanded over a finite basis. With discretized variables, they provide an accurate description of scattering in the s wave for short-range potentials with few basis states. The R-matrix method combined with a Lagrange basis, i.e., functions that vanish at all points of a mesh but one, leads to simple meshlike equations which also allow an accurate description of scattering. These methods are shown to be exactly equivalent for any basis size, with or without discretization. The comparison of their assumptions shows how to accurately derive poles of the scattering matrix in the R-matrix formalism and suggests how to extend the Siegert-pseudostate method to higher partial waves. The different concepts are illustrated with the Bargmann potential and with the centrifugal potential. A simplification of the R-matrix treatment can usefully be extended to the Siegert-pseudostate method. © 2002 The American Physical Society. |
