I've heard some people say that the wave function and its first derivative must be continuous because the probability to find the particle in the neighborhood of a point must be well defined; other people say that it's because it's the only way for the wave function to be physically significant. There is even another hypothesis, which states it's a consequence of the eigenvalue equation(adsbygoogle = window.adsbygoogle || []).push({});

H[tex]\Psi[/tex]=E[tex]\Psi[/tex]

Which idea is the right one?

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# Continuity of the wave function

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