ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
Time evolution of a Hamiltonian system can be viewed as a canonical transformation; therefore perturbations, giving rise to near-identity deviations from an unperturbed solution, can be represented by products of Lie transformations, or, together with the unperturbed solution, Lie transfer maps. In this paper I broaden the applicability to all perturbed Hamiltonian systems the method of Dragt and Finn and subsequent co-workers, who developed a representation using a product of Lie transformations factored by phase space variable order. In the present paper, perturbation parameters are no longer necessarily associated with the phase space variables; this method treats both "internal" and "external" perturbations on an equal footing, and a rank is assigned to each variable to reflect the degree of perturbation it represents. With the companion program PGLT, analytic development of the Lie transfer maps is relatively easy for many systems.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.1331563
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