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We have evaluated the Bloch-Siegert shift for the different values ofmagnetic field's strengths defined at astrophysical conditions, i.e. when thestars with the strong surface magnetic fields are taken as a powerful pumpingsource of radiation. It is found that the additional shift of resonantfrequency should be taken into account in the search for the time variation ofthe fundamental constants. The main conclusion is that the influence of theelectromagnetic field shift should be considered carefully in each special caseof the corresponding frequency determination.

Bloch-Siegert shift in application to the astrophysical determination of the fundamental constants variation