Comment on radiative magnetic energy shifts in hydrogen

It is shown that the magnetic radiative energy shift derived from the relativistic-Lamb-shift expression of Erickson and Yennie reduces in the nonrelativistic limit to a formula given by Grotch and Hegstrom, which was derived starting from the nonrelativistic theory. This clears up a discrepancy between those two approaches. The corresponding correction to the g factor, which exists only for states with l0, is estimated to be -0.24α3 for the 2P state of hydrogen.