A method for summation of perturbation series

Gustavo A. Arteca, Francisco M. Fernández and Eduardo A. Castro

Physica A: Statistical Mechanics and its Applications, 1984, vol. 128, issue 3, 589-610

Abstract: A method for summation of perturbation series is developed. It consists of a proper rearrangement of the power series through an appropriate redefinition of the perturbation parameter. Well-known divergent power series appearing in a φ4-scalar field theory or in the treatment of the linear confining potential model and the Stark effect in hydrogen are used as illustrative examples. A comparison between present results and accurate, numerical ones shows that our series converge even faster than sequences of Padé or Borel-Padé approximants.

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:128:y:1984:i:3:p:589-610

DOI: 10.1016/0378-4371(84)90197-3

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