What is the complex conjugate of this wave function?

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gabriellelee
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Homework Statement
Find the value of N
Relevant Equations
x0 and delta are some constants
Wave function psi(x) = N times e to the power of minus (x minus x0) squared divided by (2 Delta) squared, written as a Gaussian with normalization constant N.

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
 
Last edited:
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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