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arXiv · 1603.08369

Permutation-symmetric three-body O(6) hyperspherical harmonics in three spatial dimensions

Igor Salom·Veljko Dmitrašinović
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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{\" o}dinger equation in three spatial dimensions. We label the states with eigenvalues of the $U(1) \otimes SO(3)_{rot} \subset U(3) \subset O(6)$ chain of algebras and we present the corresponding $K \leq 4$ harmonics. Concrete transformation properties of the harmonics are discussed in some detail.

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Igor Salom, Veljko Dmitrašinović. 2016-03-28. Permutation-symmetric three-body O(6) hyperspherical harmonics in three spatial dimensions. https://arxiv.org/abs/1603.08369

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