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Rearranged Perturbation Theory for the Schrödinger Equation

The perturbation theory expansion has been rearranged for the Schrödinger equation using the nonlinear transformation of the perturbation parameter and determining the asymptotic behaviour of energy. It is shown that the use of the low-order Padé-approximants for the rearranged series allows accurate values of energy to be obtained not only for small but also for large values of the perturbation parameter.