Question: This is a practise question based on transition due to sudden time-independent perturbation Consider the effect of a time-dependent perturbation that is suddenly turned on.
This is a practise question based on transition due to sudden time-independent perturbation
Consider the effect of a time-dependent perturbation that is suddenly turned on. Consider a hydrogen atom in the state
|n = 1, l = 0, ml = 0 (the ground state). At time t = 0, we turn on a small time-dependent, uniform electric field (t)=0et. such that the perturbing Hamiltonian is given byH(z,t)=ezet .
What is the probability (up to first-order in perturbation theory) that, if we measure the state of the system at some time t > 0, we will find it to be in the first excited state |n = 2, l = 1, ml. Note: ml can be any of its possible values ml = 1, 0, 1 - does it matter which one it's in?
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