Problem 1.
Rotational motion of a molecule is characterized by Hamiltonian
\hat{H} = \frac{\hat{L}_x^2 + \hat{L}_y^2}{2I_1} + \frac{\hat{L}_z^2}{2I_2},
where $I_1, I_2$ are moments of inertia along X, Y and Z, axes, and $\hat{L}_i$ are components
(x, y and z) of the angular momentum of the system.
1. Write down the time-dependent Schrödinger equation for this system in
the coordinate representation