Lectures on 'An Introduction to dispersion relation techniques' [MatSciRep:20]

DSpace/Manakin Repository

Lectures on 'An Introduction to dispersion relation techniques' [MatSciRep:20]

Show simple item record

dc.contributor.author Roman, P.
dc.date.accessioned 2010-04-09T05:11:33Z
dc.date.available 2010-04-09T05:11:33Z
dc.date.issued 2010-04-09T05:11:33Z
dc.date.submitted 1963
dc.identifier.uri http://hdl.handle.net/123456789/174
dc.description.abstract The idea behind the dispersion relation is as follows: A Physically significant function such as the scattering amplitude is considered, which is in general a function of the real variable k(momentum) and 'theta' (the scattering angle). The first step consists in analytically continuing the function to complex values of its argument. Then it is proceeded to determine its analytic behaviour from the general structure of the underlying theory and the singularities are given a physical interpretation. Cauchy's theorem is invoked to express these analytic properties in a compact form. The resulting mathematical expression is dispersion relation. en_US
dc.description.tableofcontents I. Introduction 1; II. Mathematical Techniques 7; III. Dispersion Relation for potential scattering 13; IV. The Mandelstam Representation for potential scattering 34; V. Dispersion Relation for Partial Wave Amplitudes 51; VI. The Regge Poles in Potential Scattering 69; VII. Causality and Dispersion Relations 81; VIII. The S-Matrix 104; IX. The S-Matrix in the Angular Momentum Representation 124; X. The S-Matrix in the framework of second quantization 150. en_US
dc.subject Dispersion Relation en_US
dc.subject Matscience Report 20 en_US
dc.title Lectures on 'An Introduction to dispersion relation techniques' [MatSciRep:20] en_US
dc.type.institution Institute of Mathematical Sciences en_US
dc.description.pages 179p. en_US
dc.type.mainsub Mathematics en_US

Files in this item

Files Size Format View
MR20.pdf 50.65Mb PDF View/Open

This item appears in the following Collection(s)

Show simple item record

Search DSpace


Advanced Search

Browse

My Account