Abstract
In this paper, the logarithmic perturbation expansions for the central potential are studied in details. Perturbation expansions of various orders of the perturbing potential of any order are treated. The unified recurrent formulas of corrections of various orders for the energies and wavefunctions of the ground state and low-lying excited states are given. The formulas for nodal positions of the wavefunctions of the excited states are also given.
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