How Do You Prove the Eigenfunctions of Angular Momentum?

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To prove the eigenfunctions of angular momentum, one must demonstrate that applying the angular momentum operator J_z to an eigenfunction results in a scalar multiple of that eigenfunction. This relationship can be expressed as J_z * eigenfunction = (μ ± ħ) * eigenfunction. The key to this proof lies in utilizing the commutation relations associated with angular momentum operators. Understanding these relations provides the necessary framework to derive the eigenvalues. Successfully applying this method confirms the eigenfunctions of angular momentum.
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Homework Statement


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Homework Equations


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The Attempt at a Solution


Issue is in understanding the content. I am only after a nudge in the right direction. My issue is in getting started as it seems with most of these Quantum Problems.
 
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Actually :)
I worked it out.

All you need to do is show that:
J_z * eigenfuction = (\mu \pm \hbar) * eigenfunction

and that can be done using the commutation relation :)
woots :)
 

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