INVESTIGADORES
GASANEO Gustavo
congresos y reuniones científicas
Título:
Using generalized Sturmian basis for two- and three-body scattering problems
Autor/es:
L. U. ANCARANI AND G. GASANEO
Lugar:
Salt Lake City
Reunión:
Conferencia; 64rd Gaseous Electronics Conference; 2011
Resumen:
A methodology based
on generalized Sturmian functions is put forward to solve two- and threebody
scattering problems. It uses a spectral method which allows for the
inclusion of the correct asymptotic behavior when solving the associated
driven Schr¨odinger equation. For the two?body case we demonstrate the
equivalence between the ECS and the Sturmian approaches, and illustrate
the latter by using Hulth´en Sturmian functions. Contrary to the
Exterior Complex Scaling approach, no artificial cut-off of the potential
is required in the Surmian approach. For the three?body scattering
problem, the theoretical framework is presented in hyperspherical coordinates
and a set of hyperspherical Generalized Sturmian functions
possessing outgoing asymptotic behavior is introduced. The Sturmian
procedure is a direct generalization of the method discussed for the twobody
problem, thus the comparison with the ECS method is similar. For
both the two- and three-body cases, Sturmian basis are efficient as they
possess the correct outgoing behavior, diagonalize part of the potentials
involved and are essentially localized in the region where the unsolved
interaction is not negligible. Moreover, with the Sturmian basis the operator
(H-E) is represented by a diagonal matrix whose elements are
simply the Sturmian eigenvalues.