The invariant polarisation-tensor field for deuterons in storage rings and the Bloch equation for the polarisation-tensor density

Abstract

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.

27 pages. Further examples and some extra detail

References in corpus (3)

• Classicality of spin states
• A detailed and unified treatment of spin-orbit systems using tools distilled from the theory of bundles
• The uniqueness of the invariant polarisation-tensor field for spin-1 particles in storage rings

Cited by in corpus (1)

• The uniqueness of the invariant polarisation-tensor field for spin-1 particles in storage rings