The case of an infinite square well whose right wall expands at a constant velocity (v) can be solved exactly. A complete set of solutions is Φn(x, t) ≡√((2)/(w)) sin((n π)/(w) x) e^.i m v x^2-2 En^' a t) / 2 ħv where w(t) ≡a v t is the width of the well and En^i ≡n^2 π^2 ħ^2 / 2 m a^2 is the n th allowed | Numerade
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