How Do You Normalize the Wavefunction Ψ(x) in Quantum Mechanics?

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To normalize the wavefunction Ψ(x), the integral <Ψ|Ψ> = ∫|Ψ(x)|^2 dx must be computed. The user expresses uncertainty about calculating this integral and seeks guidance. It is important to clarify the definitions of f(k) and uk(x) to proceed with the normalization process. Additionally, forum rules require participants to demonstrate prior attempts at solving the problem. Proper normalization is essential for ensuring that the wavefunction is physically meaningful in quantum mechanics.
Guey

Homework Statement


State from the wavefunction:

Ψ(x) = ∫(dk/2π) f(k) uk(x)

Calculate the normalization <Ψ|Ψ>

Homework Equations


<Ψ|Ψ> = ∫|Ψ(x)|^2 dx

The Attempt at a Solution


[/B]
Well I know the relevant equations, but I am not sure how to compute the integral in order to start normalizing.
Would like a little guidance
 
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Guey said:
Well I know the relevant equations, but I am not sure how to compute the integral in order to start normalizing.
Would like a little guidance
As per PF rules, you have to give some indications of what you have tried.

Also, you should state what ##f(k)## and ##u_k(x)## are.
 

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