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Introduction
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Notes on Feynman Diagrams
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Notes on Feynman Diagrams
Contents
Introduction
The Sum Over Histories
Construction of Feynman Rules for One-Dimensional Scattering
Construction of Feynman Diagrams
Use of Feynman Diagrams to Prove General Theorems in Scattering Theory: Time Reversal and Parity
(*) Scattering amplitudes from mirror-image potentials
(*) Scattering of the same potential from two different directions: Time reversal symmetry
Application of Diagrams to Compute Scattering Amplitudes
Extracting the rules
General rules for all scattering problems in one dimension
(*) General Rules for Classically Forbidden Regions: Analytic Continuation
Feynman Sums: two scattering centers
Analysis of the results: resonant scattering
Specific results for the barrier potential
Three Nobel Ideas: Renormalization, Renormalization Group, Anderson Localization
Renormalization: Three scattering centers
Renormalization Group and Summing Uncountably Infinite Diagrams: An infinite crystal
Anderson Localization: Introduction of disorder
Scattering from Smooth Potentials: WKB approximation
About this document ...
Prof. Tomas Alberto Arias
Thu May 29 15:16:11 EDT 1997