Consider a three-level atom with Hamiltonian and state at t = 0 given by(0)Ĥ = Eo0 i 0-i 3 3030,(0))1√3(a) What are the possible values of energy of the atom and the correspondingeigenstates?(b) What is the state (t)) of the atom at a later time t?(c) What is the mean energy of the atom at any time t? Does it vary with time?(d) If a measurement of energy is made on the atom at t = T, what is the probabilityof getting the value √5E? Given this outcome, what is the state of the systemafter the measurement?

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