In Section 4.3, it is shown that ψ(x, t) = Aei(kx -ωt) sat­isfies the free-particle Schrod...

In Section 4.3, it is shown that ψ(x, t) = Aei(kx -ωt) sat­isfies the free-particle Schrodinger equation for all x and 1, provided only that the constants are related by . Show that when the function ψ(x, t) = A cos(kx - ωt) is plugged into the Schrödinger equation, the result cannot possibly hold for all values of ,x and t, no matter how the constants may be related.