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arXiv · hep-th/9801069

Duality in Perturbation Theory and the Quantum Adiabatic Approximation

Marco Frasca
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Abstract

Duality is considered for the perturbation theory by deriving, given a series solution in a small parameter, its dual series with the development parameter being the inverse of the other. A dual symmetry in perturbation theory is identified. It is then shown that the dual to the Dyson series in quantum mechanics is given by a recent devised series having the adiabatic approximation as leading order. A simple application of this result is given by rederiving a theorem for strongly perturbed quantum systems.

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BibTeXRIS

Marco Frasca. 1998-07-23. Duality in Perturbation Theory and the Quantum Adiabatic Approximation. https://doi.org/10.1103/physreva.58.3439

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