Asymptotic Properties of Perturbation Theory

The perturbation expansions are derived by a technique which does not assume that convergent expansions exist. The theory is shown to be asymptotic, and criteria are developed to determine if a finite number of terms underestimates or overestimates the exact result for sufficiently small values of t...

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Bibliographic Details
Published in:Journal of mathematical physics 1968-03, Vol.9 (3), p.432-435
Main Author: Krieger, Joseph B.
Format: Article
Language:English
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Summary:The perturbation expansions are derived by a technique which does not assume that convergent expansions exist. The theory is shown to be asymptotic, and criteria are developed to determine if a finite number of terms underestimates or overestimates the exact result for sufficiently small values of the coupling constant.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1664596