The Hamiltonian of a certain system is given by[1 0H = ħw]0LO 01Two other observables A and B are represented by1 0 0, B = b]0 2 0lo o0-i 0A = a|-i 0 00 1w, a, b are positive constant.a. Find the eigenvalues and normalized eigenvectors of Hb. Suppose the system is initially in the state2clµ(0) >=-c2cwhere c is a real constant. Determine the normalized state |(t) >.c. What are the eigenvectors of B?d. Find the expectation values of A and B in the state |p(t) >, and hence determine if A and B areconservative observables

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