A particle of mass m moves only along a frictionless, vertical, circular track of radius a. (a) Writ ...

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A particle of mass m moves only along a frictionless, vertical, circular track of radius a. (a) Write the classical energy of this mass as a function of angular momentum, neglecting gravity, and assume that the quantum mechanical Hamiltonian comes from substituting the quantum angular momentum operator. What is the Hamiltonian operator? (b) Write the Schrodinger equation in the position representation. The angle phi should figure prominently. (c) Find the energy eigenvalues and energy eigenfunctions in the position representation.