(a) Write xy, xz, and (x 2 - y 2 ) as components of a spherical (irreducible)...
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(a) Write xy, xz, and (x2 - y2) as components of a spherical (irreducible) tensor of rank 2.
(b) The expectation value
is known as the quadrupole moment. Evaluate
where m′ = j, j - 1, j - 2, . . . , in terms of Q and appropriate Clebsch-Gordan coefficients.
Transcribed Image Text:
Q = ela, j,m=j|(3z² — r²)|a, j,m = j)
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