Why do we need complex numbers while normalizing the wave function?

[Lasha]

I'll write down what i know and point it out if I'm wrong.So we normalize the wave function because -∫|ψ(x,t)|^2dx should always be equal to 1 right? Has this anything to do with transition from ψ to ψ^2?

 

[jtbell]

What do you mean by "need complex numbers while normalizing the wave function"?

|ψ|² is guaranteed to be real, so the normalization integral shouldn't involve complex numbers at all.