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A method for summation of perturbation series

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Publication:1080094
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DOI10.1016/0378-4371(84)90197-3zbMath0599.40008OpenAlexW1997844982MaRDI QIDQ1080094

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

Publication date: 1984

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(84)90197-3


zbMATH Keywords

perturbation parameterexamplesStark effectBorel-Padé approximantsmethod for summation of perturbation series


Mathematics Subject Classification ID

Abel, Borel and power series methods (40G10)





Cites Work

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  • Analytical expressions for the eigenvalues of anharmonic oscillators
  • Critical exponents from field theory
  • Resonances in one-dimensional Stark effect and continued fractions
  • Summation of divergent series by order dependent mappings: Application to the anharmonic oscillator and critical exponents in field theory




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