dorsal/arxiv
View SchemaHamiltonian Methods for the Study of Polarized Proton Beam Dynamics in Accelerators and Storage Rings
| Authors | V. V. Balandin, N. I. Golubeva |
|---|---|
| Categories | |
| ArXiv ID | physics/9903032 |
| URL | https://arxiv.org/abs/physics/9903032 |
| DOI | 10.1063/1.52352 |
| Journal | AIP Conf.Proc.391:282-290,2004 |
Abstract
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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"abstract": "The equations of classical spin-orbit motion can be extended to a Hamiltonian\nsystem in 9-dimensional phase space by introducing a coupled spin-orbit Poisson\nbracket and a Hamiltonian function. After this extension and by establishing\nconnections between initial and extended systems it becomes possible to apply\nthe methods of the theory of Hamiltonian systems to the study of polarized\nparticle beam dynamics in circular accelerators and storage rings. Some of\nthose methods have been implemented in the computer code FORGET-ME-NOT.",
"arxiv_id": "physics/9903032",
"authors": [
"V. V. Balandin",
"N. I. Golubeva"
],
"categories": [
"physics.acc-ph"
],
"doi": "10.1063/1.52352",
"journal_ref": "AIP Conf.Proc.391:282-290,2004",
"title": "Hamiltonian Methods for the Study of Polarized Proton Beam Dynamics in Accelerators and Storage Rings",
"url": "https://arxiv.org/abs/physics/9903032"
},
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