 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ii/paper-4/33a/a/i/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

[L_{i}, L_{j}] = i ℏ ϵ_{ijk} L_{k}

[S_{i}, S_{j}] = i ℏ ϵ_{ijk} S_{k}

[L_{i}, S_{j}] = 0

, and

J = L + S

H_{0}, L^{2}, S^{2}, L_{z}, S_{z}

therefore has the stated simultaneous basis.

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