Compute the Stark effect for the 2S 1/2 and 2P 1/2 levels of hydrogen for a field
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Compute the Stark effect for the 2S1/2 and 2P1/2 levels of hydrogen for a field ε sufficiently weak that eεa0 is small compared to the fine structure, but take the Lamb shift δ (δ = 1,057 MHz) into account (that is, ignore lP3/2 in this calculation).
Show that for 
the energy shifts are quadratic in ε, whereas for 
they are linear in ε. (The radial integral you need is
Briefly discuss the consequences (if any) of time reversal for this problem.
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