Consider (hat{H}_{0}) corresponding to the hydrogen atom, the initial state (i) being the ground state, and (hat{H}_{1}=K

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Consider \(\hat{H}_{0}\) corresponding to the hydrogen atom, the initial state \(i\) being the ground state, and \(\hat{H}_{1}=K r\), with \(K\) constant, a perturbation introduced suddenly at \(t=0\). Calculate the transition probability to the state \(n=2, l=0\) as a function of time. What happens at large times?

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