HYPERSPHERICAL HARMONICS AND GENERALIZED STURMIANS by John Avery ( 9780792360872 )

Item Details

Title:

HYPERSPHERICAL HARMONICS AND GENERALIZED STURMIANS

By:

Format:

Hardback

List price:	£74.99
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ISBN 10:

0792360877

ISBN 13:

9780792360872

Publisher:

SPRINGER

Pub. date:

30 November, 1999

Edition:

2002 ed.

Series:

Progress in Theoretical Chemistry and Physics 4

Pages:

196

Description:

Explores the connections between the theory of hyperspherical harmonics, momentum-space quantum theory, and generalized Sturmian basis functions. This book introduces methods which may be used to solve many-particle problems directly, without the use of the self-consistent-field approximation.

Synopsis:

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.

Illustrations:

VIII, 196 p.

Publication:

Netherlands

Imprint:

Springer

Returns:

Returnable

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