What does it mean to normalize a non-normalized wavefuction as in

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What does it mean to normalize a non-normalized wavefuction as in psi=something?
 
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Assuming that the particle has to exist somewhere, the total probability, found by integrating [itex]\Psi^*\Psi[/itex] over all space, has to equal 1.0 (a.k.a. 100%). Normalization means to multiply [itex]\Psi[/itex] by a suitable constant so as to make this integral come out that way.