 96487 Panayotaros P.
 A diagrammatic interpretation of classical and semiclassical
perturbation theory
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Oct 10, 96

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Abstract. We present a diagrammatic interpretation of the Lieseries classical
perturbation theory and indicate the use of diagrams
in a normal form calculation from fluid mechanics.
We also extend the diagrammatic
interpretation to
the RayleighSchr\"odinger perturbation
theory of quantum mechanics.
An advantage of the unified approach is that we
have systematic expansions in $ \hbar $, so that in
the $ \hbar \rightarrow 0 $ limit we easily recover the classical
diagrams.
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