# Finding a Complex Conjugate value of wave function

First, sorry for my poor English and any impolite behavior might happen.

Here's two wave function(pic1) and problem below(pic2).
and they are polar coordinate problem ψ(r,θ,Φ)
You can see, problem requires conjugate function of ψ1.
Is it possible to find one? or is there a possibility that actually, problem requires complex conjugate function of ψ2? (I mean, error of problem)

PS. There's no trouble integrating problem(pic2). It is actually from my textbook. but as I said, I'm studying it by myself, and I just want to know whether I can find a complex conjugate. So if you just confirm its possibility about complex conjugate value, I will appreciate you.

Regards and sorry for my poor English again. :)

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#### fresh_42

Mentor
2018 Award
I assume $a_0,r \in \mathbb{R}$, in which case the conjugate of $\Psi_1$ is $\Psi_1$ again. You get the conjugate of $\Psi_2$ by changing $e^{i\theta}$ to $e^{-i\theta}\,.$

"Finding a Complex Conjugate value of wave function"

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