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TY - CONF AU - Heinemann, K.A. AU - Barber, D.P. AU - Ellison, J.A. AU - Vogt, M. ED - Petit-Jean-Genaz, Christine ED - Arduini, Gianluigi ED - Michel, Peter ED - Schaa, Volker RW TI - New and Unifying Formalism for Study of Particle-Spin Dynamics Using Tools Distilled From Theory of Bundles J2 - Proc. of IPAC2014, Dresden, Germany, June 15-20, 2014 C1 - Dresden, Germany T2 - International Particle Accelerator Conference T3 - 5 LA - english AB - 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. PB - JACoW CP - Geneva, Switzerland SP - 3014 EP - 3016 KW - resonance KW - polarization KW - HOM KW - lepton KW - framework DA - 2014/07 PY - 2014 SN - 978-3-95450-132-8 DO - 10.18429/JACoW-IPAC2014-THPRO061 UR - http://jacow.org/ipac2014/papers/thpro061.pdf ER -