4-i Consider a system which is initially in the state y (0)) = -2+5i and having...

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4-i Consider a system which is initially in the state y (0)) = -2+5i and having a 3+2i Hamiltonian given by 0 -i 0 3 3 /2 (a) What condition must H satisfy? (b) If a measurement of H is carried out, what values will we obtain and with what probabilities? (c) Find the state of the system at a later time t. (d) Find the total energy of the system at t = 0 and any late time t by matrix algebra. Are these values different? 4-i Consider a system which is initially in the state y (0)) = -2+5i and having a 3+2i Hamiltonian given by 0 -i 0 3 3 /2 (a) What condition must H satisfy? (b) If a measurement of H is carried out, what values will we obtain and with what probabilities? (c) Find the state of the system at a later time t. (d) Find the total energy of the system at t = 0 and any late time t by matrix algebra. Are these values different?