# Find the relationship of the eight SU(3) operators (T_{ pm}, V_{ pm}, U_{ pm}, T_{3}), and (Y)

## Question:

Find the relationship of the eight SU(3) operators \(T_{ \pm}, V_{ \pm}, U_{ \pm}, T_{3}\), and \(Y\) defined in Eqs. (8.2) and (8.7)-(8.8), and the nine oscillator operators \(\left(A_{i}^{j}\right)_{k l} \equiv \delta_{i k} \delta_{j l}-\frac{1}{3} \delta_{k l}\), with a constraint \(A_{1}^{1}+A_{2}^{2}+A_{3}^{3}=0\).

**Data from Eq. 8.2**

**Data from Eq. 8.7**

**Data from Eq. 8.8**

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**Related Book For**

## Symmetry Broken Symmetry And Topology In Modern Physics A First Course

**ISBN:** 9781316518618

1st Edition

**Authors:** Mike Guidry, Yang Sun