96-487 Panayotaros P.
A diagrammatic interpretation of classical and semiclassical perturbation theory (185K, TeX) Oct 10, 96
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Abstract. We present a diagrammatic interpretation of the Lie-series 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 Rayleigh-Schr\"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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