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Abstract
A new method for summing strongly divergent perturbation series is presented. It is based on the change of the power series into a convergent sequence by means of an order-dependent mapping obtained from a simple scaling relation. The perturbation expansions for a one-dimensional integral and for the ground states of the anharmonic oscillator and of the linear confining potential model are accurately summed in the most unfavorable strong-coupling limit.
Published Version
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