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Hyperspherical Harmonics and Generalized Sturmians: 4 2002nd Edition
Author(s): John S. Avery (Author)
- Publisher: Springer
- Publication Date: 31 May 2002
- Edition: 2002nd
- Language: English
- Print length: 204 pages
- ISBN-10: 1402004095
- ISBN-13: 9781402004094
Book Description
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.
Editorial Reviews
Review
From the reviews:
“This book should find its place on the shelves of theoretical chemists as a good companion to other well-known books by this author: “Creation and annihilation operators” and “Quantum theory of atoms, molecules and photons”.”
(Theoretical Chemistry Accounts, 106:236 (2001)
