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New and Unifying Formalism for Study of Particle-Spin Dynamics Using Tools Distilled From Theory of Bundles

Klaus Heinemann, Desmond Barber, James Ellison, Mathias Vogt, Schaa, Volker RW (Ed.), Petit-Jean-Genaz, Christine (Ed.), Arduini, Gianluigi (Ed.), Michel, Peter (Ed.)
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,
more » ... nt 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.
doi:10.18429/jacow-ipac2014-thpro061 fatcat:ilr7dsnvrrh7lpu2bnw22ywi4q