the wave function for a parctical must be normalized beacuse
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thє squαrє σf thє mσdulus σf thє wαvє functíσn gívєs thє prσвαвílítч dєnsítч σf fíndíng thє pαrtíclє sσmєwhєrє ín spαcє.
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HEY! HERE GOES YOUR ANSWER,
The square of the wave function is a probability distribution describing the probable locations of the particle.
Since it is a probability distribution, its integral over all space (i.e. the probability that the particle is SOMEWHERE) must be 1.
Since it must integrate to 1, it must be normalizable.
HOPE IT HELPS :)
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