A methodology based on generalized Sturmian functions is put forward to solve two- and three-body scattering problems. It uses a spectral method which allows for the inclusion of the correct asymptotic behavior when ...

We present a configuration interaction (CI) method based on the Sturmian expansion for bound states of a two-electron atomic system. These Sturmian functions are solutions of one-electron quantum mechanical problems, where ...

We present a configuration-interaction (CI) method based on Sturmian functions. The components of this CI basis are the solutions of a two-body Sturmian eigenproblem, where the eigenvalues are related to the interacting ...

In this article, we investigate discretization schemes to represent Sturmian functions for both positive and negative energies in the presence of a long range Coulomb potential.We explore two methods to obtain Sturmian ...

In this paper we present a theory to describe three-body reactions. Fragmentation processes are studied by means of the Schro ̈dinger equation in hyperspherical coordinates. The three-body wave function is written as a sum ...

Sturmian functions (SF) constitute a very useful spectral tool to deal with bound states or break-up problems in atomic and molecular physics. In their standard form for the three-body case, the radial part of the wave ...

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 ...

A hyperspherical Sturmian approach recently developed for three-body break-up processes is tested through an analytically solvable S-wave model. The scattering process is represented by a non-homogeneous Schrödinger equation ...

We study some mathematical properties of generalized Sturmian functions which are solutions of a Schrödinger-like equation supplemented by two boundary conditions. These generalized functions, for any value of the energy, ...

The Generalized Sturmian Functions method aims to deal with atomic physics problems. It has seen application to two and three?body problems, and its flexibility enables one to work with bound systems as well as with ...