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Topic: Ratios of 3J symbols/Clebsch Gordan coefficients
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Guido Walter Pettinari

Posts: 29
From: Italy & UK
Registered: 3/24/10
Ratios of 3J symbols/Clebsch Gordan coefficients
Posted: Feb 24, 2014 12:44 PM
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Dear group users,

I am working on the spherical harmonic decomposition of cosmic microwave background maps, therefore I often deal with functions that are proportional to Wigner 3J symbols/Clebsch Gordan coefficients.

I would be very grateful if you could share with me a closed form of the ratio between

(l1 l2 l3)
( 0 2 -2)

and

(l1 l2 l3)
( 0 0 0) ,

for l1+l2+l3 even, if it exists. Ideally, I would like an expansion of the first 3j-symbol in terms of the second one, i.e.

first_3j = second_3j * ( 1 + ... )

Thank you for your consideration.

Best wishes, Guido



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