Permutation-symmetric three-body O(6) hyperspherical harmonics in three spatial dimensions
Abstract
We have constructed the three-body permutation symmetric O(6) hyperspherical harmonics which can be used to solve the non-relativistic three-body Schr\" odinger equation in three spatial dimensions. We label the states with eigenvalues of the U(1) SO(3)rot ⊂ U(3) ⊂ O(6) chain of algebras and we present the corresponding K ≤ 4 harmonics. Concrete transformation properties of the harmonics are discussed in some detail.
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