(a) Construct a spherical tensor of rank 1 out of two different vectors U = (U x...
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(a) Construct a spherical tensor of rank 1 out of two different vectors U = (Ux, Uy, Uz) and V = (Vx, Vy, Vz). Explicitly write T±(1)1,0 in terms of Ux,y,z and Vx,y,z.
(b) Construct a spherical tensor of rank 2 out of two different vectors U and V. Write down explicitly T±2(2)±1,0 in terms of Ux,y,z and Vx,y,z.
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