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

Roman, P.

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	https://dspace.imsc.res.in/xmlui/handle/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