Symmetric Representation for Three-Body Problems. II. Motion in Space
- 1 July 1968
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 9 (7) , 1103-1113
- https://doi.org/10.1063/1.1664683
Abstract
The symmetric representation of three bodies is extended to the case of motion in spece. It is found that the generalized angular‐momentum eigenfunctions are linear combinations of products of elements of the ``kinematic‐rotation'' group with elements of the spatial‐rotation group. Recurrence relations among the expansion coefficients are derived; values are tabulated for λ ≤ 4. Finally, coupling coefficients for the eigenfunctions are derived.Keywords
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