%0 Journal Article
%T The invariant polarisation-tensor field for deuterons in storage rings and the Bloch equation for the polarisation-tensor density
%A D. P. Barber
%J Physics
%D 2015
%I arXiv
%X I extend and update earlier work, summarised in [1], whereby the invariant polarisation-tensor field (ITF) for deuterons in storage rings was introduced to complement the invariant spin field (ISF). Taken together, the ITF and the ISF provide a definition of the equilibrium spin density-matrix field which, in turn, offers a clean framework for describing equilibrium spin-1 ensembles in storage rings. I show how to construct the ITF by stroboscopic averaging, I give examples, I discuss adiabatic invariance and I introduce a formalism for describing the effect of noise and damping.
%U http://arxiv.org/abs/1510.04936v2