Let’s consider the case of a particle-on-a-ring, which is a very useful model for the rotational motions of atoms and molecules. the wavefunctions are given by :
Ψ ₘᵢ(Φ) = √(1/2π)eᶦᵐˡφ
(a) What is the Hamiltonian for the particle-on-a-ring model in polar coordinates? (b) Show that the above wave functions are eigenfunctions of the Hamiltonian (c) Calculate the eigenvalues of the rotational energy
