Electrodynamics (PHYS 70006, CRN 20338)

• General Information (Syllabus)

• Lecture 1: Electrostatics, dipole layer.
• Lecture 2: Poisson's equation, Green functions. Conductors.
  • L2.1 Proof of an identity.
  • L2.2 Earnshaw's theorem.
  • L2.3 Green's identities and Green function for Dirichlet b.c.-s
  • L2.4 Green function for Neumann b.c.-s, reciprocity theorem.
• Lecture 3: Method of images. Laplace's equation.
  • L3.1 Method of images, further examples.
  • L3.2 Laplace's equation in rectangular coordinates.
  • L3.3 Operator "trick". Fields near corners and edges.
  • L3.4 Frobenius method.
  • L3.5 Proof of an identity.
  • L3.6 Proof of addition theorem for spherical harmonics.
  • L3.7 Expansion of Green function in spherical coordinates.
• Lecture 4: Multipole expansions. Electrostatics with ponderable media.
  • L4.1 Expansion of potential in moment series in Cartesian coordinates.
  • L4.2 Computing a surface vector integral.
  • L4.3 Electrostatic energy in dielectrics.
• Lecture 5: Magnetostatics, Biot-Savart Law, Vector potential.
  • L5.1 Circular current loop in detail.
• Lecture 6: Boundary value problems. Faraday's law of induction.
• Lecture 7: Maxwell equations. Poynting's Theorem, conservation of energy and momentum.
  • L7.1 Solution to the inhomogeneous wave equation using Green functions. Detailed derivation.
• Lecture 8: Plane waves. Polarization.
• Lecture 9: Superposition of waves. Pulse spread. Waves in simple matter.
• Lecture 10: Polarization by reflection. Total internal reflection.
• Lecture 11: Simple conducting media.
• Lecture 12: Conductors. Plasma frequency. Causality relations.
• Lecture 13: Special theory of relativity. Einstein's postulates. Lorentz transformation.
• Lecture 14: Rotations in 4-space. Particle decay. 4-tensors.
• Lecture 15: Electromagnetic field-strength tensor.
• Lecture 16: Relativistic mechanics and field theory.
• Lecture 17: Manifestly covariant equations of motion of particles and vector fields.
• Lecture 18: Radiating systems.
• Lecture 19: Center-fed linear antenna. Classical H-atom. Pulsar spin-down.

• Appendix: The Dirac-delta function.
• Appendix: Complex analysis refresher.
• Appendix: Orthogonal functions and expansions.
• Appendix: Calculus of variations.
• Appendix: Quotient rule of tensor calculus.
• Appendix: Simple derivation of the Lorentz transformation.
• Appendix: Infinitesimal rotations in Minkowski space. The general Lorentz transformation.
• Appendix: Accelerated clocks and the twin paradox.

1. HW1  (due Mon 11:59pm, Feb 15)  
2. HW2  (due Mon 11:59pm, Feb 22)  
3. HW3  (due Wed 11:59pm, Mar 3)  
4. HW4  (due Mon 11:59pm, Mar 15)  
5. HW5  - BONUS set (due Mon 11:59pm, Mar 29)  
6. HW6  (due Wed 11:59pm, Apr 7)  
7. HW7  (due Wed 11:59pm, Apr 14)  
8. HW8  (due Wed 11:59pm, Apr 21)  
9. HW9  (due Wed 11:59pm, Apr 28)  
10. HW10  (due Thu 11:59pm, May 13)  

• HW1P3,  HW1P4,  HW1P5,  HW1P8, 
• HW4P4  
• HW8P5  
• HW9P5  
• Midterm solutions  
• Final exam solutions  

1. Midterm exam. (due Sat. March 27, 11:59PM). 
2. Final exam. (due Mon. May 17, 11:59PM). 

• Follow this link for uploading homework and exams.