Hamiltonian Methods for the Study of Polarized Proton Beam Dynamics in Accelerators and Storage Rings

Details Hamiltonian Methods for the Study of Polarized Proton Beam Dynamics in Accelerators and Storage Rings Hamiltonian Methods for the Study of Polarized Proton Beam Dynamics in Accelerators and Storage Rings

1999-03-18

arxiv.org/abs/physics/9903032v1

AIP Conf.Proc.391:282-290,2004

Physics

Accelerator Physics

103 pages. Latex. No figures

Scientific paper

The equations of classical spin-orbit motion can be extended to a Hamiltonian system in 9-dimensional phase space by introducing a coupled spin-orbit Poisson bracket and a Hamiltonian function. After this extension and by establishing connections between initial and extended systems it becomes possible to apply the methods of the theory of Hamiltonian systems to the study of polarized particle beam dynamics in circular accelerators and storage rings. Some of those methods have been implemented in the computer code FORGET-ME-NOT.

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