A method for summation of perturbation series (Q1080094)
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scientific article; zbMATH DE number 3966958
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A method for summation of perturbation series |
scientific article; zbMATH DE number 3966958 |
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A method for summation of perturbation series (English)
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1984
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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 \(\phi^ 4\)-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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method for summation of perturbation series
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perturbation parameter
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Stark effect
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examples
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Borel-Padé approximants
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0.8792898
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0.87877685
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0.87513494
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0.87099504
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