L2 Discretization of the Coulomb Three-body Problem in A Non-orthogonal Laguerre-function Basis
| Main Author: | Agus Kartono; Theoretical Physics Division, Physics Department, Faculty of Mathematical and Natural Sciences, IPB |
|---|---|
| Format: | Article application/pdf eJournal |
| Bahasa: | eng |
| Terbitan: |
Institut Teknologi Bandung
, 2009
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| Subjects: | |
| Online Access: |
http://journal.fmipa.itb.ac.id/jms/article/view/119 |
Daftar Isi:
- In this paper a general analysis of the three-body Coulomb potential polynomials was presented. The three-body Coulomb wave functions expansion in a non-orthogonal Laguerre-type base function is shown to give 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.