Titlebook: Measurement and Control of Charged Particle Beams; Michiko G. Minty,Frank Zimmermann Textbook‘‘‘‘‘‘‘‘ 20031st edition The Editor(s) (if ap

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Longitudinal Optics Measurement and Correction,tage. Usually one employs a smooth approximation, i.e., one ignores the discrete locations of the rf cavities, in describing the particle motion. The longitudinal motion can then be modelled by second order differential equations. For small oscillation amplitudes these equations simplify to those of harmonic oscillators.

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https://doi.org/10.1007/978-3-662-08581-3CERN; DESY; Particle accelerator; Storage ring; control; measurement; Open Access

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Shoshanah B. D. Goldberg-Miller,Rene Kooymandapted to pseudodifferential evolution equations. Before we describe the motivation and several advantages of this approach, in particular concerning applications to pseudodifferential evolution equations, we will briefly review some results on evolution operators, abstract Cauchy problems, and pseu

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