Fall 2006 16 Qm

In studying the hydrogen atom one takes the proton to be a point charge with mass M. Suppose instead that the proton charge is distributed uniformly within the volume of a sphere with radius r0 = 10-15m.

(a) Using perturbation theory, calculate the shift in energy of the 1s level of hydrogen to first order in the perturbation.

(b) Give an order of magnitude estimate of the ratio of the 2p and 1s level shifts.




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