This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: PHYS852 Quantum Mechanics II, Spring 2010 HOMEWORK ASSIGNMENT 11 Topics covered: Scattering amplitude, differential crosssection, scattering probabilities. 1. Using only the definition, G = ( E H + i ) 1 , show that the freespace Greens function is the solution to bracketleftbigg E + planckover2pi1 2 2 M 2 vector r bracketrightbigg G ( vector r,vector r ) = 3 ( vector r vector r ) . (1) The purpose of this problem is just to establish the equivalence between our operatorbased approach, and the standard Greens function formalism encountered, e.g., in classical EM. 2. If we define the operator F via f ( vector k , vector k ) = ( vector k  F  vector k ) , then it follows that F = (2 ) 2 M planckover2pi1 2 T , where T is the Tmatrix operator. In principle, one would like to deduce the form of the potential V from scattering data. First, derive an expression for the operator V in terms of the operators G and T only....
View
Full
Document
This note was uploaded on 12/21/2011 for the course PHYS 852 taught by Professor Moore during the Spring '11 term at Michigan State University.
 Spring '11
 Moore
 Work

Click to edit the document details