Modelling and Mathematical Analysis of Quantum Systems

dc.contributor.advisorProf. Colin Lambert and Prof. Peter Neal
dc.contributor.authorASMA JAZZA M ALANAZY
dc.date2019
dc.date.accessioned2022-05-26T21:37:43Z
dc.date.available2022-05-26T21:37:43Z
dc.degree.departmentMATHEMATICS AND STATISTICS
dc.degree.grantorLancaster University
dc.description.abstractThe 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.identifier.urihttps://drepo.sdl.edu.sa/handle/20.500.14154/34126
dc.language.isoen
dc.titleModelling and Mathematical Analysis of Quantum Systems
sdl.thesis.levelDoctoral
sdl.thesis.sourceSACM - United Kingdom
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