How do you normalize the wavefunction ψ = e^(iψ) in quantum mechanics?

[tbair200]

Please I need help with wavefunctions!

Okay so I have attempted to understand wavefunctions in my pchem class but I am a little lost... Here is the problem.
unnormalized wavefunction (ψ) = e^(iψ) with 0≤ψ≤2∏, normalize this equation

Homework Equations

N^2∫ (ψ)^2 dψ

**I uploaded a pic of relevant equations bc it would be too messy to write out on here

The Attempt at a Solution

Okay so I know the answer is N = sqrt (1/2pi)

but I get to this step...

N^2 ∫ e^(-iψ)* e(iψ) dψ

and I am not sure where to go from here... I know ψ^2 = 1 but I am still stuck

 

[Dick]

Okay so I have attempted to understand wavefunctions in my pchem class but I am a little lost... Here is the problem.
unnormalized wavefunction (ψ) = e^(iψ) with 0≤ψ≤2∏, normalize this equation

Homework Equations

N^2∫ (ψ)^2 dψ

**I uploaded a pic of relevant equations bc it would be too messy to write out on here

The Attempt at a Solution

Okay so I know the answer is N = sqrt (1/2pi)

but I get to this step...

N^2 ∫ e^(-iψ)* e(iψ) dψ

and I am not sure where to go from here... I know ψ^2 = 1 but I am still stuck

Not sure why you are stuck. The integral of 1 from 0 to 2pi is 2pi. So N^2*(2pi)=1. What's N?