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Wavefunction normalization

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Often the relative probability of finding an atom in its excited state at time t is given by |psi(t)|^2 ~ e^(-2t/T), where T is the lifetime of the excited state. Normalize this probability distribution, and when does the probability drop to half the maximum value?

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A detailed solution for the wavefunction normalization is given.

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What you should do is make sure that the probability distribution is normalized at any given tme. I.e., at any given time t, the atom is in a superposition of the excited state and the ground state. The sum of the probabilities of finding the atom in the excited state and the ground state should always be ...

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