Erschienen: 30.11.1999 Abbildung von Avery | Hyperspherical Harmonics and Generalized Sturmians | 1999 | 4


Hyperspherical Harmonics and Generalized Sturmians

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1999. Buch. viii, 196 S. Bibliographien. Hardcover

Springer. ISBN 978-0-7923-6087-2

Format (B x L): 15,5 x 23,5 cm

Gewicht: 1050 g

In englischer Sprache


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.


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