In 1947, Lamb and Retherford showed that there is a very

Chapter , Problem 71

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In 1947, Lamb and Retherford showed that there is a very small energy difference between the and the states of the hydrogen atom. They measured this difference essentially by causing transitions between the two states using very long wavelength electromagnetic radiation. The energy difference (the Lamb shift) is and is explained by quantum electrodynamics as being due to fluctuations in the energy level of the vacuum. (a) What is the frequency of a photon whose energy is equal to the Lamb shift energy? (b) What is the wavelength of that photon? In what spectral region does it belong?

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