What is the complex conjugate of this wave function?

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The discussion centers on determining the complex conjugate of a wave function for normalization purposes. The user initially plans to find the normalization constant N by integrating the product of the wave function and its complex conjugate over all space. They express confusion about the complex conjugate since the wave function appears to be real. It is clarified that for a real wave function, the complex conjugate is simply the wave function itself, maintaining the same form. The conclusion is that the integral can proceed with the wave function as is, without modification.
gabriellelee
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Homework Statement
Find the value of N
Relevant Equations
x0 and delta are some constants
Screen Shot 2020-01-20 at 5.22.33 PM.png

I was planning to find the value of N by taking the integral of φ*(x)φ(x)dx from -∞ to ∞ = 1. However, this wave function doesn't have a complex number so I'm not sure what φ*(x) is. I was thinking φ*(x) is exactly the same φ(x), but with x+x0 instead of x-x0.

Thank you
 
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gabriellelee said:
Homework Statement:: Find the value of N
Homework Equations:: x0 and delta are some constants

View attachment 255845
I was planning to find the value of N by taking the integral of φ*(x)φ(x)dx from -∞ to ∞ = 1. However, this wave function doesn't have a complex number so I'm not sure what φ*(x) is. I was thinking φ*(x) is exactly the same φ(x), but with x+x0 instead of x-x0.

Thank you
Since it is real, its complex conjugate is just psi(x). x-x0 remains x-xo (assuming that they are real, which they surely are meant to be).
 
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