19 citations · 36 across the 9 of their papers we have counts for
9 papers
Re-evaluation of Spin-Orbit Dynamics of Polarized e+ e- Beams in High Energy Circular Accelerators and Storage Rings: an approach based on a Bloch equation
Klaus Heinemann, Daniel Appelö, Desmond P. Barber +2
We give an overview of our current/future analytical and numerical work on the spin polarization in high-energy electron storage rings. Our goal is to study the possibility of pola…
The Bloch equation for spin dynamics in electron storage rings: computational and theoretical aspects
Klaus Heinemann, Daniel Appelö, Desmond P. Barber +2
In this paper we describe our work on spin polarization in high-energy electron storage rings which we base on the Bloch equation for the polarization density and which aims toward…
An Informal Summary of a New Formalism for Classifying Spin-Orbit Systems Using Tools Distilled from the Theory of Bundles
Klaus Heinemann, Desmond P. Barber, James A. Ellison +1
We give an informal summary of ongoing work which uses tools distilled from the theory of fibre bundles to classify and connect invariant fields associated with spin motion in stor…
A detailed and unified treatment of spin-orbit systems using tools distilled from the theory of bundles
Klaus Heinemann, Desmond P. Barber, James A. Ellison +1
We return to our study \cite{BEH} of invariant spin fields and spin tunes for polarized beams in storage rings but in contrast to the continuous-time treatment in \cite{BEH}, we no…
A New and Unifying Approach to Spin Dynamics and Beam Polarization in Storage Rings
Klaus Heinemann, James A. Ellison, Desmond P. Barber +1
With this paper we extend our studies [1] on polarized beams by distilling tools from the theory of principal bundles. Four major theorems are presented, one which ties invariant f…
Planar undulator motion excited by a fixed traveling wave: Quasiperiodic Averaging, normal forms and the FEL Pendulum
James A. Ellison, Klaus Heinemann, Mathias Vogt +1
We present a mathematical analysis of planar motion of energetic electrons moving through a planar dipole undulator, excited by a fixed planar polarized plane wave Maxwell field in…