Consider a physical system whose three-dimensional state space is spanned by the orthonormal basis formed by the three kets {Je1>, Je2>, e3>}. In the basis of these three vectors, taken in this order, the Hamiltonian H^ and the two operators B^ and D^ are defined by: 3 i 0 7 i 1-1 0. 0. 2a H= hwo B= bo 3 0 -i 1+i 2a 0 2 1+i 1-i 6. 2a -3a where wo and bo are constants. Also using this ordered basis, the initial state of the system is given by: (e1| v(0) e2| »(0) (e3| v(0)) |«(0)) = 3 6. Q: Show that H and B form a CSCO.

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A: Given Data: H^ =hω03i0-i30002 , B^ =b07i1-i-i71+i1+i1-i6D^= 002α02α02α0-3αψ0=e1ψ0e2ψ0e3ψ0=236