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dc.contributor.advisorReichl, Linda E.
dc.creatorCorse, William Zacharyen
dc.date.accessioned2015-02-03T20:41:41Zen
dc.date.accessioned2018-01-22T22:27:19Z
dc.date.available2018-01-22T22:27:19Z
dc.date.issued2014-12en
dc.date.submittedDecember 2014en
dc.identifier.urihttp://hdl.handle.net/2152/28306en
dc.descriptiontexten
dc.description.abstractR-matrix theory has been used to analyze a variety of scattering potentials in ballistic electron waveguides. The S-matrix is the principal result of this method. Here we analyze ballistic electron scattering in a 1D waveguide with a step potential at its terminus using Green’s function theory. We calculate the S-matrix for this system, scattering particles’ quasibound states, and the survival probability of a particle initially localized in the step region. We then apply R-matrix theory to the same problem. In doing so, we demonstrate the versatility of the Green’s function approach, but also its relative complexity.en
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.subjectWaveguidesen
dc.subjectGreen's functionsen
dc.titleGreen's function methods in 1D nanoscale electron waveguidesen
dc.typeThesisen
dc.description.departmentPhysicsen
dc.date.updated2015-02-03T20:41:42Zen


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