In this dissertation, the analytic properties and asymptotic behaviour of two and three particle amplitudes have been studied for a large class of potentials using the related mathematical techniques of Fredholm theory and Functional Analysis. The first three sections of this work are devoted to a study of the analytic properties and asymptotic behaviour for large £ of two particle scattering amplitudes using methods based on Predholm theory. In the remaining three sections the analytic properties in the energy and total angular momentum of two and three particle amplitudes are studied using the very elegant methods of Functional Analysis. Especially the partial wave integral equations corresponding to the Fadeev equations are derived and the kernel of these equations is studied to obtain the analyticity properties in the energy and total angular momentum.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:643145 |
| Date | January 1964 |
| Creators | Choudhury, M. H. |
| Publisher | University of Edinburgh |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Source | http://hdl.handle.net/1842/18095 |
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