Hyperspherical Harmonics and Generalized Sturmians(English, Paperback, Avery John S.)

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Hyperspherical Harmonics and Generalized Sturmians(English, Paperback, Avery John S.) is written by Avery John S. and published by Kluwer Academic Publishers. It's available with International Standard Book Number or ISBN identification 1402004095 (ISBN 10) and 9781402004094 (ISBN 13).

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 Lowdin [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-Lowdin 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.