Duck, Ian M.2016-04-222016-04-221966Gale, William Arthur. "The peratization approximation." (1966) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/89877">https://hdl.handle.net/1911/89877</a>.https://hdl.handle.net/1911/89877The peratization program is investigated in the field of singular potential scattering, as an analog to the unrenormalizable field theories. We review some known results on the scattering amplitude, and establish the applicability of the commonly used regularizations. A general argument for peratization is presented. Several examples are considered. The results for weak types of singularities offer an unresolved contradiction.41 ppengCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.ThesisRICE0911reformatted digitalThesis Phys. 1966 Gale