- #1
fdbjruitoirew
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Homework Statement
[itex]\hat T = \frac{{\hat L_z^2}}{{2I}} = - \frac{{{\hbar ^2}}}{{2I}}\frac{{{\partial ^2}}}{{\partial {\varphi ^2}}}[/itex]
Homework Equations
Find eigenfunctions and eigenvalues of this operator
The Attempt at a Solution
It leads to the differential eqn
[itex]- \frac{{{\hbar ^2}}}{{2I}}\frac{{{\partial ^2}}}{{\partial {\varphi ^2}}}f = \lambda f[/itex]
it has the characteristic eqn
[itex]\lambda + \frac{{{\hbar ^2}}}{{2I}}\frac{{{\partial ^2}}}{{\partial {\varphi ^2}}} = 0[/itex]
then I don't know how to do the next step