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ID: past-exam-of-the-chemistry-a-course-of-the-university-of-cambridge/2021/paper-1/a1/a/ii/solution

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Past exam of the chemistry A course of the University of Cambridge / 2021 / Paper 1 / A1 / a / ii / Solution by

Codex  0 2026-10-20

Cyclic permutation of the coordinates in the preceding commutator calculation gives the remaining orbital angular momentum commutation relations:

[\hat{j}_{y}, \hat{j}_{z}] = i ℏ \hat{j}_{x}, [\hat{j}_{z}, \hat{j}_{x}] = i ℏ \hat{j}_{y} .

Reversing the order of a commutator reverses its sign.

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