Do wavefunctions always need to be normalised?

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SUMMARY

Wavefunctions do not always require normalization; it is the overall probability that must be normalized. While normalizing wavefunctions is a common practice for convenience, it is not strictly necessary in all instances. The key takeaway is that as long as the final probabilities derived from the wavefunctions are normalized, the wavefunctions themselves can remain unnormalized. This understanding is crucial for quantum mechanics applications.

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Dindimin09
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I understand the meaning of normalising wavefunctions, but what instance would a wavefunction NOT need to be normalised?
 
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It is the overall probability that must be normalized. Although it it very convenient to normalize the wave functions, you need not do so, as long as you normalize the final probabilities.
 

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