Abstract
In physical applications, it is most convenient to use a set of hyperspherical harmonics which are adapted to the symmetry of the problem being treated, Thus, for example, the Schrödinger equation of a many-particle system is invariant under rotations of the system as a whole, (provided that there are no external forces). It follows that for such a system, total orbital angular momentum is a good quantum number; and if we wish to use hyperspherical harmonics as a basis for constructing solutions to the many-particle Schrödinger equation, it is desirable to start with a set of harmonics which are eigenfunctions of total orbital angular momentum.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1989 Kluwer Academic Publishers
About this chapter
Cite this chapter
Avery, J. (1989). Symmetry-Adapted Hyperspherical Harmonics. In: Hyperspherical Harmonics. Reidel Texts in the Mathematical Sciences, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2323-2_10
Download citation
DOI: https://doi.org/10.1007/978-94-009-2323-2_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7544-2
Online ISBN: 978-94-009-2323-2
eBook Packages: Springer Book Archive