Calculate the lifetime (in seconds) for each of the four n = 2 states of hydrogen. Hint: You'll need to evaluate matrix elements of the form (ψ100|x|ψ200), (ψ100|y|ψ211), and so on. Remember that x = r sin θ cos ➢, y = r sin θ sin ➢, and z = r cos θ. Most of these integrals are zero, so scan them before you start calculating. Answer: 1.60 × 10–9 seconds for all except ψ200, which is infinite.
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