8.311: Electromagnetic Theory
Problem Set # 12
Due: 5/05/04
Scattering radiation of relativistic particles
Reading: Schwinger, Chaps. 35-38, 45.
1. Electromagnetic wave scattering.
Consider one or several electrons moving, driven by the eld of an electrom
8.334: Statistical Mechanics II
Spring 2014
Test 3
Review Problems
The test is closed book, but if you wish you may bring a one-sided sheet of formulas.
The intent of this sheet is as a reminder of important formulas and denitions, and not as
a compact tr
8.334: Statistical Mechanics II
Spring 2014
Test 2
Review Problems
The test is closed book, but if you wish you may bring a one-sided sheet of formulas.
The intent of this sheet is as a reminder of important formulas and denitions, and not as
a compact tr
Quantum Field Theory II (8.324) Fall 2010
Assignment 7
Readings
Peskin & Schroeder chapters 10, 12, 13.
Weinberg vol 1 chapter 12 and Vol 2 chapter 18.
Problem Set 7
1. Renormalization group properties (30 points)
(a) Consider a coupling constant and a
1
8.324
Quantum Field Theory II
Problem Set 7 Solutions
1. (a) Changing the variable = ( ) we can nd using the chain rule of dierentiation. We nd,
( ) = d = d d = ( ) d .
d
d d
d
Thus
(1)
transforms like a contravariant vector. For example, recall how in
8.334: Statistical Mechanics II
Spring 2014
Test 2
Review Problems & Solutions
The test is closed book, but if you wish you may bring a one-sided sheet of formulas.
The intent of this sheet is as a reminder of important formulas and denitions, and not as
8.334: Statistical Mechanics II
Spring 2014
Test 3
Review Problems & Solutions
The test is closed book, but if you wish you may bring a one-sided sheet of formulas.
The intent of this sheet is as a reminder of important formulas and denitions, and not as
8.334: Statistical Mechanics II
Spring 2014
Test 1
Review Problems & Solutions
The test is closed book, but if you wish you may bring a one-sided sheet of formulas.
The intent of this sheet is as a reminder of important formulas and denitions, and not
as
8.334: Statistical Mechanics II
Spring 2014
Test 1
Review Problems
The test is closed book, but if you wish you may bring a one-sided sheet of formulas.
The intent of this sheet is as a reminder of important formulas and denitions, and not
as a compact tr