Physics
Where is the block?
Random snapshots of a block on a frictionless track build a histogram - and it converges to 1/v, the classical shadow of |psi|^2.
What happens
A random photograph catches the block where it lingers, and it lingers where it is slow. So the probability of finding it goes as 1/v, which on a two-level track is two flat plateaus in the ratio of the speeds. The bars are built from actual snapshots of an actual trajectory, taken at Poisson times so no rhythm of the track can beat with the camera; the line is the theory. This is the classical shadow of |psi|^2 - same question, same shape.
Equations used in the module
Equations P_classical(x) ∝ 1 / v(x) |ψ_n(x)|² averaged over levels near E → 1 / v(x) one level alone oscillates; the average is the shadow χ²/dof = Σ(O − E)²/E over bins with E ≥ 5, divided by their number − 1; about 1 when the snapshots are draws from the density, growing with N when they are not
