High-order perturbation theory for the hydrogen atom in a magnetic fieldстатья
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Аннотация:The states of a hydrogen atom with principal quantum numbers $n\le 3$ in a constant uniform magnetic field $H$ are studied. Coefficients in the expansion of the energy of these states in powers of $H^2$ up to the 75th order are obtained. Series for the energies of the states and the wave functions are summed to values of $H$ on the order of the atomic magnetic field. A generalization of the moment method upon which these calculations are based can be used in other cases in which a hydrogen atom is perturbed by a potential with a polynomial dependence on the coordinates.