Abstract
The mathematical analysis of scattering theory has been a major area of interest in
mathematics and physics research since the latter half of the twentieth century. The
aim of this work is to examine, in a functional analytic setting, properties of the
differential operator L and solutions involved for scattering on the line −∞ < x <
∞. The characterisation of the spectrum of L will provide insight into the physical
interpretation of the problem. The study of scattering theory will proceed with
the major results in the field being presented with particular focus on reflectionless
scattering. Attention is then directed to the inverse reflectionless case. We look at
scattering on the line with a matrix transfer condition at the origin in addition an
overview of the inverse case is presented.
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:wits/oai:wiredspace.wits.ac.za:10539/6929 |
| Date | 06 May 2009 |
| Creators | Emmett, Richard John |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Thesis |
| Format | application/pdf |
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