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Removal of Resonances

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Abstract

From the perturbative procedure in the last chapter we have learned that in the proximity of resonances of the unperturbed system, resonant denominators appear in the expression for the adiabatic invariants. We now wish to begin to locally remove such resonances by trying, with the help of a canonical transformation, to go to a coordinate system which rotates with the resonant frequency.

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Dittrich, W., Reuter, M. (2017). Removal of Resonances. In: Classical and Quantum Dynamics. Springer, Cham. https://doi.org/10.1007/978-3-319-58298-6_13

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