 Solution

ID: past-exam-of-the-short-options-paper-shared-by-prelims-and-parts-a-and-b-of-the-physics-course-of-the-university-of-oxford/2017/s7/3/d/solution

For

f = F (H)

with no explicit time dependence,

\partial_{t} f = 0

and

[H, F (H)] = F^{'} (H) [H, H] = 0

. It therefore solves the stationary transport equation. Normalizability and the accessible energy region still have to be checked for a proposed probability distribution.

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