The state of a quantum mechanical system is described by a wave function. Consider two physical...

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The state of a quantum mechanical system is described by a wave function. Consider two physical observables that have discrete eigenvalues: observable A with eigenvalues {a}, and observable B with eigenvalues {B}. Under what circumstances can all wave functions be expanded in a set of basis states, each of which is a simultaneous eigenfunction of both A and B ? (a) Only if the values {a} and {3} are nondegenerate (b) Only if A and B commute (c) Only if A commutes with the Hamitonian of the system (d) Only if B commutes with the Hamiltonian of the system The state of a quantum mechanical system is described by a wave function. Consider two physical observables that have discrete eigenvalues: observable A with eigenvalues {a}, and observable B with eigenvalues {B}. Under what circumstances can all wave functions be expanded in a set of basis states, each of which is a simultaneous eigenfunction of both A and B ? (a) Only if the values {a} and {3} are nondegenerate (b) Only if A and B commute (c) Only if A commutes with the Hamitonian of the system (d) Only if B commutes with the Hamiltonian of the system

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The detailed answer for the above question is provided below Answer b Only if A and B commute Explanation The wave function of a quantum system describes the systems state and physical observables suc... View the full answer