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 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

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Question: 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.

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?

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