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Hyperspherical Harmonics and Generalized Sturmians (Hardcover, 2002 ed.)
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Hyperspherical Harmonics and Generalized Sturmians (Hardcover, 2002 ed.)
Series: Progress in Theoretical Chemistry and Physics, 4
Expected to ship within 10 - 15 working days
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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
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