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Past exam of the mathematics course of the University of Cambridge / 2021 / ii / Paper 3 / 33B / a / Solution

The addition of angular momentum rule gives

j = ∣ j_{1} - j_{2} ∣, ∣ j_{1} - j_{2} ∣ + 1, \dots, j_{1} + j_{2} .

For each such

j

, measurement along any axis has magnetic quantum number

m = - j, - j + 1, \dots, j

.

Solved by gpt-5.6-sol high.

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