50. The state of a quantum mechanical system is described by a wave function
. Consider two physical observables that have discrete eigenvalues: observer A with eigenvalue
, and observable B with eigenvalues
. 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
and
are nondegenerate
(B) Only if A and B commute
(C) Only if A commutes with the Hamiltonian of the system
(D) Only if B commutes with the Hamiltonian of the system
(E) Under all circumstances
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