(a) Show that ψ1(x, t) = Aeikx-iωt is a solution of both the Klein-Gordon and the Schrödinger equations.
(b) Show that ψ2(x, t) = Aeikx cos ωt is a solution of the Klein-Gordon but not of the Schrödinger equation.
(c) Show that ψ2 is a combination of positive and negative energy solutions of the Klein-Gordon equation (see Exercise L3).
(d) Compare the time dependence of |ψ|2 for ψ1 and ψ2.
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