Duality in Perturbation Theory

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  • 12 January 1998
Abstract
Duality is applied to perturbation theory by deriving, given a series solution in a small parameter, the dual one expressed as a series having as a development parameter the inverse of the same parameter considered as large. Clues for a dual simmetry in perturbation theory are given. The method is applied in quantum mechanics to the Rayleigh-Schr\"{o}dinger perturbation theory and to time-dependent problems showing that dual symmetry is broken in cases where the only meaningful quantities are the transition probabilities.

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