(Solved): For a diatomic molecule rotating in 2 dimensions, the Hamiltonian is H^=2Ih2d2d2 and the ...

For a diatomic molecule rotating in 2 dimensions, the Hamiltonian is $$\hat{H}=?\frac{h^2}{2I}\frac{d^2}{d{?}^2}$$ and the Schrodinger equation is $$?\frac{h^2}{2l}\frac{d^2}{d{?}^2}?=E?$$. Note that this means that the angle $$?$$ is not changing, so it does not appear as a variable: the molecule is stuck on one plane (hence 2D rotation). a. Normalize the wavefunction $$?=e^{im?}$$ b. Now use the normalized wavefunction to find the energy levels for the 2-D rigid rotor. Are the energies quantized? If so are the energy levels evenly spaced? c. What is the degeneracy for each energy level? Explain.