We consider a rotational motion of a molecule characterized by an uniaxial tensor of inertia Iij, which in some coordinate system can be presented as a diagonal matrix [11 0 0 Iij = 0 0 0 0 12 Classical energy of the rotational motion can be written down as E ΣτLabs, i.j (1) where Li are components (x,y and z) of the angular momentum of the system. Turn the classical energy into a quantum Hamiltonian describing this sys- tem explicitly taking into account Eq. 1 Find energy levels and stationary states of this system. Present the sta- tionary states in the coordinate representation and in the representation based on eigenvectors of the angular momentum operator.