5) Take into account the subsequent transition probability amplitude: t M(t) = 4/ Vfi(t1)el\"fi'ldt1 (1) 0 This equation is employed to establish an approximation for the transition rate when the perturbation takes the form of: 165- (t) = xsm(wt) (2) Apply the identical method to derive a comparable rate expression when the perturbative excitation follows the pattern of: Vfi-(f) = X034\")t (3) Offer only sufcient details to explain the distinctions between the initial analysis and the second analysis you calculated. Your ultimate objective is to clarify the extent by which the transition rate either increases or decreases when employing a complex harmonic excitation as opposed to a real-valued harmonic excitation