The Hamiltonian of a certain system is given by 1 H = ħw]0 Lo Two other observables A and B are represented by i 0 A = a|-i 0 0 0 0 1 [1 0 0 B = b]0 2 0 1 Lo o 2 w, a, b are positive constant. a. Find...

Extracted text: The Hamiltonian of a certain system is given by 1 H = ħw]0 Lo Two other observables A and B are represented by i 0 A = a|-i 0 0 0 0 1 [1 0 0 B = b]0 2 0 1 Lo o 2 w, a, b are positive constant. a. Find the eigenvalues and normalized eigenvectors of H b. Suppose the system is initially in the state 2c ly(0) >= -C 2с/ where c is a real constant. Determine the normalized state |ý(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 are conservative observables