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

2015/10/16 by D. P. Barber, Barber, D. P.
Physics and Astronomy · #Accelerator Physics (physics.acc-ph) #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum, superfluid, helium dynamics #physics.acc-ph

paper · pdf · doi:10.48550/arxiv.1510.04936

27 pages. Further examples and some extra detail

openalex publication_date 2015/10/16 · arxiv created 2016/02/04 · arxiv updated 2016/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• I. Electron and Proton Spin Polarisation in Storage Rings ---an Introduction
• Elementary Theory of Angular Momentum
• The uniqueness of the invariant polarisation-tensor field for spin-1 particles in storage rings

Related

• The uniqueness of the invariant polarisation-tensor field for spin-1 particles in storage rings
• A New and Unifying Approach to Spin Dynamics and Beam Polarization in Storage Rings
• Electron-spin polarization in high-energy storage rings. I. Derivation of the equilibrium polarization
• Some models of spin coherence and decoherence in storage rings
• I. Electron and Proton Spin Polarisation in Storage Rings ---an Introduction