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I recently did an exercise whose purpose was to show what we must require from the separation constant E (when separating the SED) for the solutions to be normalized. The point was that it must be real since a complex one yields a wave function of the form:

ψ(x,t) = A(x)exp(at)

And this can't be normalized for all t. But the problem is for me: It can be normalized for all finite t, and I have shown in an earlier exercise that when the wave function is normalized at one time t0 then it stays normalized in the future (I believe this is a very important property of the SED). So isn't there some kind of inconsistensy here?

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# Normalizeable solutions when separating the SED

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