Comparison between Deprit and Dragt-Finn perturbation methods |
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Authors: | P -V Koseleff |
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Institution: | (1) Équipe de calcul formel, École Polytechnique, F-91128 Palaiseau Cedex, France;(2) Bureau des Longitudes, 77 avenue Denfert Rochereau, F-75014 Paris, France |
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Abstract: | In this paper, the relationship between the Dragt-Finn transform and the classical Lie transform introduced by Deprit is discussed. The relative performance of the algorithms used for the computations of the transformed functions is compared, and the relation between their generators is given. These generators produce the same transform which insures the construction of the same invariants. |
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Keywords: | Lie methods canonical transformations |
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