Author/Authors :
Kartono ، Agus نويسنده Laboratory for Theoretical and Computational Physics, Department of Physics, Faculty of Mathematical and Natural Sciences, Institut Pertanian Bogor, , , Mamat، Mustafa نويسنده Department of Mathematics, Faculty of Sciences and Technology, Universiti Malaysia Terengganu, 21030 K. Terengganu, Malaysia ,
Abstract :
In this paper, we present a general analysis of the three-body Coulomb potential polynomials. We show why the three-body Coulomb wave functions expansion in a non-orthogonal Laguerre-type function basis gives two modified Pollaczek polynomials. The frozen-core model is used to examine the three-body Coulomb Hamiltonian. The resulting three-term recurrence relation is a special case of the Pollaczek polynomials which is a set of orthogonal polynomials having a nonempty continuous spectrum in addition to an infinite discrete spectrum. The completeness of the three-body Coulomb wave functions is further studied for different Laguerre basis size.
