Clebsch-Gordan Coefficients
Clebsch-Gordan Coefficients
This Demonstration illustrates the Clebsch–Gordan coefficients, , which give the coupling amplitudes between uncoupled and coupled representations of two angular momenta and . In the uncoupled representation, the components of each angular momentum, and , are known; in the coupled representation, the total (resultant) angular momentum and its component are known. The Clebsch–Gordan coefficients are only nonzero when and ; in the Demonstration we show these for ,≤3. The graphs give a vectorial representation of each pair, showing the actual value together with all possible values.
〈JM〉
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max(M,-)≤J≤+
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(j,m)
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