A method for summation of perturbation series |
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| Authors: | Gustavo A. Arteca Francisco M. Fernández Eduardo A. Castro |
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| Affiliation: | INIFTA, División Química Teórica, Sucursal 4, Casilla de Correo 16, La Plata 1900, Argentina |
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| 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. |
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| Keywords: | To whom correspondence should be addressed. |
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