Green's function methods in 1D nanoscale electron waveguides
| dc.contributor.advisor | Reichl, Linda E. | |
| dc.creator | Corse, William Zachary | en |
| dc.date.accessioned | 2015-02-03T20:41:41Z | en |
| dc.date.accessioned | 2018-01-22T22:27:19Z | |
| dc.date.available | 2018-01-22T22:27:19Z | |
| dc.date.issued | 2014-12 | en |
| dc.date.submitted | December 2014 | en |
| dc.date.updated | 2015-02-03T20:41:42Z | en |
| dc.description | text | en |
| dc.description.abstract | R-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.description.department | Physics | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.uri | http://hdl.handle.net/2152/28306 | en |
| dc.language.iso | en | en |
| dc.subject | Waveguides | en |
| dc.subject | Green's functions | en |
| dc.title | Green's function methods in 1D nanoscale electron waveguides | en |
| dc.type | Thesis | en |