content_image/398217.jpg content_image/398218.jpg content_image/398219.jpg content_image/398220.jpg content_image/398221.jpg content_image/398227.jpg
Thus in equation (31) we would get the factor 

<img src='content_image/398217.jpg'>

Now using the symmetries of Clebsch-Gordon coefficients given by equation (8.5.34) from [48], we get 

Similarly 

<img src='content_image/398218.jpg'>

<img src='content_image/398219.jpg'>

Using equation (8.5.37) from [48] we get 

Thus 

<img src='content_image/398220.jpg'>

<img src='content_image/398221.jpg'>

Substituting this in equation (31), the evolution equation becomes 

<img src='content_image/398227.jpg'>

where ℓ, ℓ$_{n}$ >> | ℓ$_{n}$ − ℓ | , L with n = 1 , 2. 

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