Introduction to the Use of Non-Linear Techniques in S-Matrix Theory

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Samenvatting

I am going to explain to you how one can tackle certain problems in S-matrix theory that involve nonlinear functional equations. A physicist’s usual reaction to a non-linear equation of this kind would be either to try to get an approximate solution by iteration, or to introduce a linearization, perhaps in the neighbourhood of a known approximate solution. I will introduce some concepts of Banach space analysis [1], which will enable us to put these intuitive ideas on a rigorous basis. The advantage is that one can sometimes prove the existence of solutions of the exact equations, without any approximations.
Originele taal-2English
TitelDevelopments in High Energy Physics
SubtitelProceedings of the IX. Internationale Universitätswochen für Kernphysik 1970 der Karl-Franzens-Universität Graz
UitgeverijSpringer
Pagina's32-70
Aantal pagina's39
DOI's
StatusPublished - 1970
EvenementDevelopments in High Energy Physics - Steiermark, Austria
Duur: 23-feb-19707-mrt-1970

Conference

ConferenceDevelopments in High Energy Physics
LandAustria
StadSteiermark
Periode23/02/197007/03/1970

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