Modelling and Mathematical Analysis of Quantum Systems
| dc.contributor.advisor | Prof. Colin Lambert and Prof. Peter Neal | |
| dc.contributor.author | ASMA JAZZA M ALANAZY | |
| dc.date | 2019 | |
| dc.date.accessioned | 2022-06-06T03:06:59Z | |
| dc.date.available | 2019-11-12 11:48:24 | |
| dc.date.available | 2022-06-06T03:06:59Z | |
| dc.description.abstract | The study presents the Landauer formula and Green’s function approach for analysing the scattering processes in a system attached to infinite one-dimensional leads. The study involves the calculation of the retarded Green’s function in which the simple formula of a one-dimensional tight binding chain in presented. The study involves mathematical aspects of solving the Schrodinger equation in open systems with a view to developing new conceptual approaches to scattering theory. Efficient schemes to obtain scattering matrices from mean-field Hamiltonians are developed and these are implemented in new numerical codes.. | |
| dc.format.extent | 104 | |
| dc.identifier.other | 79437 | |
| dc.identifier.uri | https://drepo.sdl.edu.sa/handle/20.500.14154/67807 | |
| dc.language.iso | en | |
| dc.publisher | Saudi Digital Library | |
| dc.title | Modelling and Mathematical Analysis of Quantum Systems | |
| dc.type | Thesis | |
| sdl.degree.department | MATHEMATICS AND STATISTICS | |
| sdl.degree.grantor | Lancaster University | |
| sdl.thesis.level | Doctoral | |
| sdl.thesis.source | SACM - United Kingdom |