Modelling and mathematical analysis of quantum systems

Alanazy, Asma (2019) Modelling and mathematical analysis of quantum systems. PhD thesis, UNSPECIFIED.

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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.

Item Type:
Thesis (PhD)
ID Code:
138411
Deposited By:
Deposited On:
30 Oct 2019 14:25
Refereed?:
No
Published?:
Published
Last Modified:
25 Sep 2020 06:25