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n Angular Momentum Theory for Diatomic Molecules, R R method of trees, 3 construct the wave functions of more complicated systems for ex- ple many electron atoms or molecules. However, it was soon realized that unless the continuum is included, a set of hydrogenlike orbitals is not complete. To remedy this defect, Shull and Löwdin [273] - troduced sets of radial functions which could be expressed in terms of Laguerre polynomials multiplied by exponential factors. The sets were constructed in such a way as to be complete, i. e. any radial fu- tion obeying the appropriate boundary conditions could be expanded in terms of the Shull-Löwdin basis sets. Later Rotenberg [256, 257] gave the name ¿Sturmian¿ to basis sets of this type in order to emp- size their connection with Sturm-Liouville theory. There is a large and rapidly-growing literature on Sturmian basis functions; and selections from this literature are cited in the bibliography. In 1968, Goscinski [138] completed a study ofthe properties ofSt- rnian basis sets, formulating the problem in such a way as to make generalization of the concept very easy. In the present text, we shall follow Goscinski¿s easily generalizable definition of Sturmians.
| Autorius: | John S. Avery |
| Serija: | Progress in Theoretical Chemistry and Physics |
| Leidėjas: | Springer Netherlands |
| Išleidimo metai: | 1999 |
| Knygos puslapių skaičius: | 216 |
| ISBN-10: | 0792360877 |
| ISBN-13: | 9780792360872 |
| Formatas: | 241 x 160 x 17 mm. Knyga kietu viršeliu |
| Kalba: | Anglų |
Parašykite atsiliepimą apie „Hyperspherical Harmonics and Generalized Sturmians“
