Jacobi equations and particle accelerator beam dynamics
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2012
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910686971428864 |
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| author | Torrome, Ricardo Gallego |
| author_facet | Torrome, Ricardo Gallego |
| contents | A geometric formulation of the linear beam dynamics in accelerator physics is presented. In particular, it is proved that the linear transverse and longitudinal dynamics can be interpret geometrically as an approximation to the Jacobi equation of an affine averaged Lorentz connection. We introduce a specific notion reference trajectory as integral curves of the main velocity vector field. A perturbation caused by the statistical nature of the bunch of particles is considered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1203_6037 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | Jacobi equations and particle accelerator beam dynamics Torrome, Ricardo Gallego Mathematical Physics Dynamical Systems Accelerator Physics Applied Physics 53C22, 58E10 A geometric formulation of the linear beam dynamics in accelerator physics is presented. In particular, it is proved that the linear transverse and longitudinal dynamics can be interpret geometrically as an approximation to the Jacobi equation of an affine averaged Lorentz connection. We introduce a specific notion reference trajectory as integral curves of the main velocity vector field. A perturbation caused by the statistical nature of the bunch of particles is considered. |
| title | Jacobi equations and particle accelerator beam dynamics |
| topic | Mathematical Physics Dynamical Systems Accelerator Physics Applied Physics 53C22, 58E10 |
| url | https://arxiv.org/abs/1203.6037 |