Author: Heinemann, K.A.
Paper Title Page
THPRO061 New and Unifying Formalism for Study of Particle-Spin Dynamics Using Tools Distilled From Theory of Bundles 3014
 
  • K.A. Heinemann, J.A. Ellison
    UNM, Albuquerque, New Mexico, USA
  • D.P. Barber
    Cockcroft Institute, Warrington, Cheshire, United Kingdom
  • D.P. Barber, M. Vogt
    DESY, Hamburg, Germany
 
  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.
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.
* 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).
 
DOI • reference for this paper ※ https://doi.org/10.18429/JACoW-IPAC2014-THPRO061  
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