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Item Details
| Title:
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HYPERSPHERICAL HARMONICS AND GENERALIZED STURMIANS
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| By: |
John Avery |
| Format: |
Hardback |
| List price:
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£74.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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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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