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ID: past-exam-of-the-mathematical-methods-i-course-of-the-university-of-oxford/2019-resit/11/a/ii/solution

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Past exam of the mathematical methods I course of the University of Oxford / 2019 resit / 11 / a / ii / Solution by

Codex  0 2026-10-25

[A, B]^{†} = - [A, B]

. It is also Hermitian precisely when it is zero, so it is not Hermitian in general; it is Hermitian if and only if $A$ and $B$ commute. For example,

[σ_{x}, σ_{y}] = 2 i σ_{z} \neq = 0

for the Pauli matrices.

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