Hyperspherical Harmonics and Generalized Sturmians
Autor: | Avery, John S. |
---|---|
EAN: | 9781402004094 |
Sachgruppe: | Physik, Astronomie |
Sprache: | Englisch |
Seitenzahl: | 208 |
Produktart: | Kartoniert / Broschiert |
Veröffentlichungsdatum: | 31.05.2002 |
Schlagworte: | Atomphysik Kernphysik - Kern (Atomkern) Physik / Atomphysik, Kernphysik Physik / Quantenphysik Physikalische Chemie Quantenphysik |
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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.