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Differential Algebraic Description of Beam Dynamics to Very High Orders

Abstract

The new method of differential algebras for the description of beam dynamics is presented. It allows a very straightforward and elegant computation of transfer maps of accelerator systems which can be analysed for data relevant to accelerators. The order of the procedure is unlimited. The theoretical background of the method is presented in detail. It is shown how the method can be used in practice.

M. Berz, Particle Accelerators 24 (1989) 109-124

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