Radiation properties of diamagnetic manifolds in atomic hydrogen: line intensity dependence on a magnetic field

We study the effect of a magnetic field on the probability of radiative transitions of a hydrogen atom from diamagnetic manifold states. The analytical formulae have been derived for the susceptibilities determining the influence of diamagnetic interaction on the probabilities of radiative transitions. To derive the analytic expressions for the higher-order matrix elements, we use the Sturm expansion of the reduced Coulomb Green function. We also examine the frequency dependence of corrections to the radiative matrix elements and its correlation with the structure of the diamagnetic spectrum of excited levels. We discover the selective action of a magnetic field on the diamagnetic components of emission lines: when the field strength increases, an increase in the intensity of some lines is accompanied by a decrease in the intensity of the other lines