A Beam Dynamics View on a Generalized Formulation of Spin Dynamics, Based on Topological Algebra, with Examples

摘要

Here I rephrase some of the results of work performed in several collaborations with K.Heinemann & J.A.Ellison, D.P.Barber, and A.Kling on a generalized look on spin dynamics and beam polarization in storage rings. It is done in a way that emphasizes the applicability of the concepts to real world polarized beams rather than presenting the results in their most general form. The latter view can be found in several articles on the ArXiv and will be published in refereed journals soon. I will introduce several "spin-related" systems, state some selected main results of the above mentioned work and then recover and compare some basic (and some not so basic) findings for the various systems in the light of our generalized approach.