Perturbation theory - need a couple of articles

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SUMMARY

This discussion centers on the need for access to specific articles related to perturbation theory, particularly concerning the behavior of its series. The user seeks two articles: one from the Journal of Chemical Physics (doi:10.1063/1.1670546) and another from the Institute of Physics (doi:10.1088/0370-1328/78/4/306). Additionally, the user requests review articles on the convergence of perturbation series and highlights Reed and Simon's "Mathematical Physics" series, Volume IV, as a key resource for understanding Rayleigh-Schrödinger Perturbation Theory.

PREREQUISITES
  • Understanding of perturbation theory concepts
  • Familiarity with Rayleigh-Schrödinger Perturbation Theory
  • Knowledge of academic journal access and DOI usage
  • Basic comprehension of mathematical physics literature
NEXT STEPS
  • Access the articles via institutional or interlibrary loan services
  • Research additional review articles on the convergence of perturbation series
  • Study Reed and Simon's "Mathematical Physics" series for deeper insights
  • Explore recent advancements in perturbation theory through academic databases
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Researchers, graduate students, and academics in the fields of theoretical physics and applied mathematics, particularly those focusing on perturbation theory and its applications.

Evgn
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I'm studying a perturbation theory (behaviour of its series) and have found two articles which might be of particular interest. Unfortunately, all my three institutions do not have subscription to these journals (articles are too old). I'm kindly asking for your help.

These are the articles I'm looking for:
1. http://jcp.aip.org/resource/1/jcpsa6/v49/i7/p3035_s1 , doi:10.1063/1.1670546
2. http://iopscience.iop.org/0370-1328/78/4/306, doi: 10.1088/0370-1328/78/4/306

Thank you very much in advance.

I would also appreciate any review articles on the problem of convergence of perturbation series in an "old" theory and a diagrammatic one.
 
Last edited by a moderator:
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The best review on the mathematical properties of Rayleigh-Schrödinger Perturbation Theory is in Reed and Simon's Mathematical Physics series, Volume IV.

That article just gives the standard theory in a different form.
 

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