Normalizing Psi when it has no complex numbers

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SUMMARY

The discussion centers on the normalization of the wave function psi (ψ) when it lacks complex numbers. The user seeks to square the magnitude of ψ, defined as ψ(x,0) = A(x/a), where A and a are constants. The conclusion reached is that |ψ|² = A²(x²/a²) is indeed correct, as the complex conjugate of a real function is the function itself. The user expresses confusion about the presence of complex numbers in wave functions, indicating a need for further understanding of their role.

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DragonPetter
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Homework Statement



I need to square the magnitude of psi for each of my integrals

Homework Equations



for x between 0 and a, [tex]\psi(x,0)[/tex] = A(x/a), where A and a are constants

The Attempt at a Solution


So I take A(x/a) and square it since it is already positive. so [tex]A^2\ast(x^2/a^2)[/tex] . . but in the proof of my book, it makes use of the complex conjugate, which I am sure of how that fits for my particular psi function . . which makes me think that [tex]A^2\ast(x^2/a^2)[/tex] is not correct


so is [tex]|\psi|^2[/tex] = [tex]A^2\ast(x^2/a^2)[/tex] if [tex]\psi[/tex] = A(x/a)
in this example?
 
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Yes. The complex conjugate of a real function is the function itself.
 
Hmm, so i am worrying over nothing. I am so new to this that I don't really understand why the wave function would have a complex number in it sometimes and other times not have it, since I don't even really know what reason a complex number is for in a wave function.
 

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