J-values

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    Thibo Van Doninck
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    You can schematically draw two vectors of same length corresponding to L and S. The quantum numbers then correspond to the projection on one of the axis. Now set the L vector corresponding to the maximal projection, in this case 1. Then you can do addition of two vectors by drawing the S vector on top of that one in the 3 different possible positions. From this approach one can see that J=2 corresponds to having the vectors parallel and pointing in the same direction, J=1 perpendicular to each other and J=0 to parallel and pointing in opposite direction.

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