The Leading eBooks Store Online 4,173,809 members ⚫ 1,357,844 ebooks

New to eBooks.com?

Learn more

Hyperspherical Harmonics and Generalized Sturmians

Hyperspherical Harmonics and Generalized Sturmians by John S. Avery
Buy this eBook
US$ 99.00
(If any tax is payable it will be calculated and shown at checkout.)
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.
Springer Netherlands; April 2006
205 pages; ISBN 9780306469442
Read online, or download in secure PDF format
Title: Hyperspherical Harmonics and Generalized Sturmians
Author: John S. Avery
 
  • News
  • Contents
No entry found
ISBNs
0306469448
9780306469442
9780792360872