Title of article
The Three-Body Coulomb Potential Polynomials
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 ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
22
From page
31
To page
52
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.
Journal title
Malaysian Journal of Mathematical Sciences
Serial Year
2010
Journal title
Malaysian Journal of Mathematical Sciences
Record number
676604
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