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## Homework Statement

Hi all.

A particle is in the state [itex]\left| {ml} \right\rangle [/itex], and I need to find the eigenvalues for the operator L

^{2}and L

_{z}.

If we start by looking at L

^{2}, then I know that the eigenfunctions of this operator are the spherical harmonics, and I know how to write L

^{2}in spherical coordinates. But finding the eigenenergies this way seems to be a long task.

What is the easiest way of doing this?

Regards,

Niles.