Question: (a) Show that the wave function (x, t) = Asin(kx - t) does not satisfy the time-dependent Schrdinger equation. (b) Show that (x, t) =

(a) Show that the wave function Ψ(x, t) = Asin(kx - ωt) does not satisfy the time-dependent Schrödinger equation.

(b) Show that Ψ(x, t) = Acos(kx - ωt) + iA sin(kx - ωt) does satisfy this equation.

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