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Applies to questions of primarily educational value - not only questions that arise from actual homework assignments, but any question where it is preferable to guide the asker to the answer rather than giving it away outright. Please READ THE GUIDANCE IN META before asking homework-like questions.

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Normalization of the overlap $\langle x'|p'\rangle$

You can express the dirac-delta-function as: $$\delta(x-x')=\frac{1}{2 \pi}\int dp e^{i p (x-x')}$$ (simply fourier-transform the dirac-function) compare it with your expression and you get the fac …
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