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I'm currently re-reading Griffiths introductory QM book and plan to do most of the exercises. I got stuck on one problem and had to look for some hints and found two solutions that both claim that:

[tex] \int_{-\infty} ^{\infty} \frac{\partial }{\partial x}\left[ \frac{\partial \Psi ^{*}}{\partial x} \frac{\partial \Psi}{\partial x} - \Psi ^{*} \frac{\partial ^2 \Psi }{\partial x^2} \right] dx = 0 .[/tex]

What Griffiths really push is that the wave function approaches zero at the boundaries but he states nothing about the derivatives (other than that they need be continuous). Can someone help me understand this?

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# Properties of derivatives of a wavefunction?

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