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dc.contributor.authorHeinemann, Klaus
dc.date.accessioned2010-06-28T21:35:14Z
dc.date.available2010-06-28T21:35:14Z
dc.date.issued2010-06-28T21:35:14Z
dc.date.submittedMay 2010
dc.identifier.urihttp://hdl.handle.net/1928/10879
dc.description.abstractThis 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.en_US
dc.description.sponsorshipUnited States Department of Energy (contract DE-FG02-99ER41104)en_US
dc.language.isoen_USen_US
dc.subjectMaxwell equationsen_US
dc.subjectVlasov equationen_US
dc.subjectFree Electron Laseren_US
dc.subjectSpin polarized beamsen_US
dc.subjectTopologyen_US
dc.subjectDynamical Systemsen_US
dc.subject.lcshBeam dynamics--Computer Simulation
dc.subject.lcshSynchrotron radiation--Computer simulation
dc.subject.lcshPolarization (Nuclear physics)--Computer simulation
dc.subject.lcshElectron beams--Computers simulation
dc.subject.lcshTopological dynamics
dc.titleTwo topics in particle accelerator beams: Vlasov-Maxwell treatment of coherent synchrotron radiation and topological treatment of spin polarizationen_US
dc.typeDissertationen_US
dc.description.degreeMathematicsen_US
dc.description.levelDoctoralen_US
dc.description.departmentUniversity of New Mexico. Dept. of Mathematics and Statisticsen_US
dc.description.advisorEllison, James
dc.description.committee-memberBarber, Desmond
dc.description.committee-memberBoyer, Charles
dc.description.committee-memberHagstrom, Thomas
dc.description.committee-memberLau, Stephen
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