052

Quantum revival

A wave packet that breaks up inside a box and returns, exactly.

Field

Detail

Study

052

Chapter

Quantum mechanics

Equation

ψ(x, T_rev) = ψ(x, 0)

What moves

t / T_rev, the fraction of the revival period

Structure

Film

Colour means

probability density |ψ|²

A wave packet that breaks up inside a box and returns, exactly.

A wave packet starts as one tall peak inside the box from Study 042. It spreads, breaks into fine ripples and seems lost. The box sits on a turning drum whose surface carries the whole history: a quarter of the way round, two copies; halfway, a mirror image; a full turn, the first peak again. The return is exact because every component’s phase completes a whole number of turns at the same moment, T_rev.

Each study takes one equation and lets the computed result move.