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thelonious
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Homework Statement
A bead of mass m on a circular ring has the wave function Acos[itex]\stackrel{2}{}[/itex]θ.
Find expectation value, eigenfunctions & eigenvalues.
Homework Equations
The differential operator for the angular momentum is L = [itex]\hbar[/itex]/i ([itex]\partial[/itex]/[itex]\partial[/itex]θ).
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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