The tensor material will be taken from Mathematics for Physicists Optional Topic A. Material on groups may also be found in Optional Topic B.
This material is very interesting, but also challenging! Please keep
up with the reading, and turn the homework problems in on time. Please
consult with me whenever you have a question.
Grading will be based on homework, midterm and final. The
takehome
midterm is on relativity. The takehome final is comprehensive but
emphasizes
material from the last 2/3 of the course. Please check the dates
and
be sure to keep your schedule clear on those days.
Homework 
35% 
Midterm 
30% 
Final 
35% 
Date  Topic  Reading  Problems  Due date 

Aug 29 Tu  History of special relativity. Vectors, forms, tensors in 2 and 3 dimensions 
Lea Op Topic A; J 11 1,2,3,4 
Op Topic A Pr 3, 7, 8d 
Aug 31 
Aug 31 Th  Transformation laws. Mechanics in SR  115,6  
Sep 5 Tu  Collision problems  115,6  
Sep 7 Th  The Lorentz group  Op topic B; J 117 
Op Topic A Pr 14b, 15, 16, 17 J11.6 
Sep 7 
Sep 12 Tu  Thomas precession  118  
Sep 14 Th  Relativistic E&M Transformation of the fields 
119, 10, 12  11.8, 9, 20 
Sep 14 
Sep 19 Tu  Lagrangians and Hamiltonians  121  
Sep 21 Th  Motion in EM fields  12 2,3  11.13, 15,18  Sep 21 
Sep 26 Tu  Particle drifts, Adiabatic invariance  124,5  
Sep 28 Th  Darwin Lagrangian  126  12.3, 4  Sep 29 
Oct 3 Tu  Conservation laws  12.7,10  
Oct 5 Th  Coulomb collisions, Cerenkov
radiation More on Cerenkov 
131,2, 3,4  12.11,18  Oct 5 
Oct 10 Tu  Scattering  135,  

Oct 12 Th  Green’s function for wave equation  1211  Midterm exam Ch 11 and 12 
Due Oct 12 
Oct 17 Tu  Calculation of the fields, Power radiated  141, 2  

Oct 19 Th  Angular distribution of radiated power 
143,4,5  13.5, 8  Oct 19 
Oct 24 Tu  Frequency distribution: synchrotron radiation  14 6  
Oct 26 Th  More on synchrotron radiation Thomson scattering 
147, 8  14.4, 8, 13  Oct 26 
Oct 31 Tu  Multipole fields Dipole fields  far field 
91,2  
Nov 2 Th  Quadrupole fields, Antennae  93,4,5  14.15, 23 
Nov 2 
Nov 7 Tu  Spherical wave solutions  96  
Nov 9 Th  Multipole expansions Properties of multipole fields 
97,8,9  9.3,12 
Nov 9 
Nov 14 Tu  Relation to sources, Atomic and nuclear systems 
910,11, 12  
Nov 16 Th  Scattering Scattering by perturbations 
10.,2  9.16, 17 
Nov 16 
Nov 2024 
THANKSGIVING 
10.8  
Nov 28 Tu  Plane wave expansion, scattering  10.3,4  
Nov 30 Th  Scalar and Vector diffraction theory  10.5, 6,7  9.22 
Nov 30 
Dec 5 Tu  Babinet's principle  
Dec 7 Th  Radiation damping and self fields  161,2  10.14 
Dec 7 
Dec 12 Tu  More on self fields  163  
Dec 14 Th  Atoms line breadth  167,8  10.20 
Dec 14 