Mukunda, N. ; Pandit, L. K.
(1965)
*A note on the decomposition structure of the direct product of irreducible representations of SU(3) by tensor method*
Progress of Theoretical Physics, 34
(1).
pp. 46-55.
ISSN 0033-068X

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Official URL: http://ptp.ipap.jp/link?PTP/34/46/

Related URL: http://dx.doi.org/10.1143/PTP.34.46

## Abstract

Tensor methods are employed to determine which unitary irreducible representations (UIR's) (α, β) occur in the reduction of the direct product (λ, μ)⊗(λ', μ') of two arbitrary UIR's of SU(3). For λ', μ' large enough (λ', μ' ≥α+β), it is shown that all the representations (α, β) are given by the following unique correspondence: For each pair of I_{z}, Y values (i.e., to each 'weight') occurring in the representation (λ, μ) we have a representation (α, β) with α=λ'+I_{z}+(3/2)Y, μ=μ'+I_{z}-(3/2)Y, where the multiplicity of occurrence of (α, β) is the same as the multiplicity of the weight I_{z}, Y in the representation (λ, μ).

Item Type: | Article |
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Source: | Copyright of this article belongs to Yukawa Institute for Theoretical Physics. |

ID Code: | 25367 |

Deposited On: | 06 Dec 2010 13:30 |

Last Modified: | 17 Jul 2012 07:29 |

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