1. The problem statement, all variables and given/known data A bound quantum system has a complete set of orthonormal, no-degenerate energy eigenfunctions u(subscript n) with difference energy eigenvalues E(subscript n). The operator B-hat corresponds to some other observable and is such that: B u(subscript 1)=u(subscript 2) B u(subscript 2)=u(subscript 1) B u(subscript n)=0 n>3 or B=3 a) Find the complete orthonormal set of eigenfunctions of the operator B-hat (expand out the eigenvalues of B in terms of u, and do not neglect any solutions) b) If B is measured and found to have the eigenvalue H, what is the expectation value of the energy in the resulting state? 3. The attempt at a solution B u(subscript1)=u(subscript2) B u(subscript 2)=u(subscript1) (B^2) u*(subscript 2)=u(subscript2) B^2 =1 B=1 I don't think this is leading anywhere. Please help.