Weniger, Ernst Joachim (2012) On the mathematical nature of Guseinov's rearranged one-range addition theorems for Slater-type functions. JOURNAL OF MATHEMATICAL CHEMISTRY, 50 (1). pp. 17-81. ISSN 0259-9791, 1572-8897
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Starting from one-range addition theorems for Slater-type functions, which are expansion in terms of complete and orthonormal functions based on the generalized Laguerre polynomials, Guseinov constructed addition theorems that are expansions in terms of Slater-type functions with a common scaling parameter and integral principal quantum numbers. This was accomplished by expressing the complete and orthonormal Laguerre-type functions as finite linear combinations of Slater-type functions and by rearranging the order of the nested summations. Essentially, this corresponds to the transformation of a Laguerre expansion, which in general only converges in the mean, to a power series, which converges pointwise. Such a transformation is not necessarily legitimate, and this contribution discusses in detail the difference between truncated expansions and the infinite series that result in the absence of truncation.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | COMPLETE ORTHONORMAL SETS; NONCENTRAL INTERACTION POTENTIALS; MULTICENTER MULTIELECTRON INTEGRALS; MULTIPOLE MOMENT INTEGRALS; CORRELATED INTERACTION POTENTIALS; UNIFIED ANALYTICAL TREATMENT; FIELD GRADIENT INTEGRALS; NONSCREENED COULOMB POTENTIALS; UNIFORM ASYMPTOTIC EXPANSIONS; EXPONENTIAL-TYPE ORBITALS; Slater-type function; Addition theorem; Laguerre expansion; Power series |
| Subjects: | 500 Science > 540 Chemistry & allied sciences |
| Divisions: | Chemistry and Pharmacy > Institut für Physikalische und Theoretische Chemie |
| Depositing User: | Petra Gürster |
| Date Deposited: | 08 May 2020 06:39 |
| Last Modified: | 08 May 2020 06:39 |
| URI: | https://pred.uni-regensburg.de/id/eprint/19615 |
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