Question

31 October 2019 1. Assuming the typical notation for a Clebsch-Gordan coefficient to be (11j2; m, mz|jm) state which of the following CG coefficients are zero and explain your answer: (11;00/21) ; (13;12193) ; (11; -11/00) HINT: You don't need to calculate the CG coefficients. Use, instead, the symmetry rules any CG coefficient should obey.

Answer 1

meet. 11;009, 1) J = 1, J2=1 l miso, m=0 J= 0,1,2 I mam, pm, = 0 (this it must be Jm) = 100), 11,0), 12,0) In above there are matching term of lum) Hence it will be zero- (1 til t 1 , 2) J=1, I2 = 2,5= 1 { mamy 4m2 = P + f = 2 2 2 15, m) = 1 + 27, 12, 2) Again above cofficiend will be ress. (11-.1100) J = 1, I2 = 1 = 0,1,2, mim, em = -1 f12 o 15m) = 10,0), 11,2), 12, 6) not be zew. because El/L this 10,0) conflichend will in preint