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| Title | New and Unifying Formalism for Study of Particle-Spin Dynamics Using Tools Distilled From Theory of Bundles | |||||
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| Abstract | We summarize our recent work on spin motion in storage rings *. In fact we return to our study ** of spin motion in storage rings. We again focus on spin tunes, polarization fields etc. but in contrast to ** we base the description on one turn maps and refine and expand our toolset from that in * by using a rather modern method from Dynamical-Systems theory, developed in the 1980's by R. Zimmer and others based on bundles **, ***. With this we obtain new insights into invariant spin fields, invariant frame fields, spin tunes and spin-orbit resonances. At the same time we get a unified way to treat spin-1/2 and spin-1 particles. The bundle aspect is pointed out and we briefly mention the relation to Yang-Mills Theory as well. | |||||
| Footnotes & References | * K.Heinemann, D.P.Barber, J.A.Ellison, M.Vogt. To be submitted. ** D.P.B., J.A.E., K.H., PRSTAB 7 (2004) 124002. *** K.Heinemann, PhD Thesis, University of New Mexico, 2010 (available on the web). |
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| Funding | The work of JAE and KH was supported by DOE under DE-FG-99ER41104 and the work of DPB and MV was supported by DESY. | |||||
| Paper | download THPRO061.PDF [0.250 MB / 3 pages] | |||||
| Export | download ※ BibTeX ※ LaTeX ※ Text/Word ※ RIS ※ EndNote | |||||
| Conference | IPAC2014, Dresden, Germany | |||||
| Series | International Particle Accelerator Conference (5th) | |||||
| Proceedings | Link to full IPAC2014 Proccedings | |||||
| Session | Poster Session, Ronaldo Area | |||||
| Date | 19-Jun-14 16:00–18:00 | |||||
| Main Classification | 05 Beam Dynamics and Electromagnetic Fields | |||||
| Sub Classification | D02 Non-linear Dynamics - Resonances, Tracking, Higher Order | |||||
| Keywords | resonance, polarization, HOM, lepton, framework | |||||
| Publisher | JACoW Publishing, Geneva, Switzerland | |||||
| Editors | Christine Petit-Jean-Genaz (CERN, Geneva, Switzerland); Gianluigi Arduini (CERN, Geneva, Switzerland); Peter Michel (HZDR, Dresden, Germany); Volker RW Schaa (GSI, Darmstadt, Germany) | |||||
| ISBN | 978-3-95450-132-8 | |||||
| Published | July 2014 | |||||
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