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Research output: Thesis › Doctoral Thesis
Research output: Thesis › Doctoral Thesis
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TY - BOOK
T1 - Modelling and mathematical analysis of quantum systems
AU - Alanazy, Asma
PY - 2019/10/9
Y1 - 2019/10/9
N2 - 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.
AB - 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.
U2 - 10.17635/lancaster/thesis/757
DO - 10.17635/lancaster/thesis/757
M3 - Doctoral Thesis
PB - Lancaster University
ER -