Consider the physical situations described below and propose a reasonable quantum model (for example, rigid rotor, Particle in a Box, etc.) to describe each situation. Please name only one model for each problem. Explain your reasoning with one sentence for each model you choose.
(a) An electron is moving in the π-clouds of the benzene molecule.
(i) What is the quantum model? Reason?
(ii) Write the Cartesian Hamiltonian.
(iii) What is the energy of such a model system?
(b) A diatomic molecule is vibrating (stretching vibration).
(i) What is the quantum model? Reason?
(ii) Write the Cartesian Hamiltonian.
(iii) What is the energy of such a model system?