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Hyperspherical Harmonics and Generalized Sturmians (Paperback, New edition)
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Hyperspherical Harmonics and Generalized Sturmians (Paperback, New edition)
Series: Progress in Theoretical Chemistry and Physics, 4
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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.
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Progress in Theoretical Chemistry and Physics, 4 |
Release date: |
2002 |
First published: |
May 2002 |
Authors: |
John S. Avery
|
Dimensions: |
235 x 155 x 11mm (L x W x T) |
Format: |
Paperback
|
Pages: |
196 |
Edition: |
New edition |
ISBN-13: |
978-1-4020-0409-4 |
Categories: |
Books >
Science & Mathematics >
Physics >
Quantum physics (quantum mechanics) >
General
|
LSN: |
1-4020-0409-5 |
Barcode: |
9781402004094 |
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