Investigating the hydrogen atom in crossed external fields by the method of momentsстатья
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Аннотация:Recurrence relations of perturbation theory for the hydrogen ground state are obtained. With the aid of these relations, polarizabilities in constant mutually perpendicular electric and magnetic fields are computed up to the 80th order of perturbation theory. The high-order asymptotic expression is compared with its semiclassical estimate. For the case of an arbitrary relative orientation of external fields, a general sixth-order formula is given. The energy and the width of the ground state are obtained by means of a perturbation-series summation.