Publication Date
6-28-2010
Abstract
This thesis has two parts. In the first part I present results from my studies of the Vlasov-Maxwell system which was developed, together with a code, in collaboration with Bassi, Ellison and Warnock. The emphasis is on the link between the theory and the self-consistent numerical computations performed by the code. The Vlasov-Maxwell system models electron beams, typically in synchrotron light sources. In the second part I present results from my studies of the dynamics of spin polarized beams. Here the emphasis is on improvements of the theoretical basis of beam simulations by using topological methods.
Degree Name
Mathematics
Level of Degree
Doctoral
Department Name
Mathematics & Statistics
First Committee Member (Chair)
James Auby Ellison
Second Committee Member
Desmond Barber
Third Committee Member
Charles Boyer
Fourth Committee Member
Thomas Hagstrom
Fifth Committee Member
Stephen Lau
Project Sponsors
United States Department of Energy (contract DE-FG02-99ER41104)
Language
English
Keywords
Beam dynamics--Computer Simulation, Synchrotron radiation--Computer simulation, Polarization (Nuclear physics)--Computer simulation, Electron beams--Computers simulation, Topological dynamics
Document Type
Dissertation
Recommended Citation
Heinemann, Klaus. "Two topics in particle accelerator beams: Vlasov-Maxwell treatment of coherent synchrotron radiation and topological treatment of spin polarization." (2010). https://digitalrepository.unm.edu/math_etds/18
