A system, initially in state li), is disturbed H' (t) = G sin wt with the time-independent G operator. Assume that the disturbance starts at time t = 0 to t= T. 1. Calculate the amplitude of the 1st-order transition to the f) state, a (t), from the time-dependent perturbation theory. - 2. Write down the dominant transition amplitude for the condition E, Ehw. 3. Plot the probability of the transition against wo!. Describe the resulting curve.

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A system, initially in state li), is disturbed
H'(t) = G sin wt
with the time-independent G operator. Assume that the disturbance starts at time t = 0 to t = T.
1. Calculate the amplitude of the 1st-order transition to the f) state, af(t), from the
time-dependent perturbation theory.
2. Write down the dominant transition amplitude for the condition E, - E; ~ ħw.
3. Plot the probability of the transition against w!. Describe the resulting curve.
Transcribed Image Text:A system, initially in state li), is disturbed H'(t) = G sin wt with the time-independent G operator. Assume that the disturbance starts at time t = 0 to t = T. 1. Calculate the amplitude of the 1st-order transition to the f) state, af(t), from the time-dependent perturbation theory. 2. Write down the dominant transition amplitude for the condition E, - E; ~ ħw. 3. Plot the probability of the transition against w!. Describe the resulting curve.
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