(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A bead of mass m on a circular ring has the wave function Acos[itex]\stackrel{2}{}[/itex]θ.

Find expectation value, eigenfunctions & eigenvalues.

2. Relevant equations

The differential operator for the angular momentum is L = [itex]\hbar[/itex]/i ([itex]\partial[/itex]/[itex]\partial[/itex]θ).

3. The attempt at a solution

I have found that the expectation value is zero, and now I would like to solve for eigenvalues and eigenfunctions. I understand that the eigenfunctions must have the form Ce^{-iθ/[itex]\hbar[/itex]}... but I don't know where to go from here. How can I begin to solve for these eigenfunctions?

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# Angular Momentum Eigenfunctions for Bead on a Wire

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