Electrodynamics (PHYS 70006, CRN 30258)

• General Information (Syllabus)

• Chapter 1: Special theory of relativity I. Kinetics
• Chapter 2: Rotations in 4-space. 4-tensors.
• Chapter 3: 4-Vector calculus. Electromagnetic field-strength tensor.
• Chapter 4: Relativistic mechanics and field theory.
• Chapter 5: Electrostatics in vacuum. Conductors.
• Chapter 6: Electrostatics in ponderable media.
• Chapter 7: Magnetism. The Maxwell equations.
• Chapter 8: Electromagnetic waves. Polarization. Wave packets.
• Chapter 9: Dispersion and absorption in simple materials.
• Chapter 10: Radiating systems.  

• Appendix: Simple derivation of the Lorentz transformation.
• Appendix: Infinitesimal rotations in Minkowski space. The general Lorentz transformation.
• Appendix: The Quotient Rule of Tensor Calculus and its proof.
• Appendix: Accelerated clocks and the twin paradox.
• Appendix: Quotient rule of tensor calculus.
• Appendix: More on tensors.
• Appendix: Calculus of variations.
• Appendix: The Dirac-delta function.
• Appendix: Laplacean of the inverse distance.
• Appendix: Earnshaw's theorem. When is levitation possible?
• Appendix: Method of images.
• Appendix: Orthogonal functions and expansions.
• Appendix: Spherical harmonics.
• Appendix: Poynting's Theorem, Conservation of Energy and Momentum
• Appendix: Complex analysis refresher.
• Appendix: Radiation examples.

1. HW1  (due Mon 11:59pm, Jan 19)  
2. HW2  (due Mon 11:59pm, Feb 4).   Solutions  
3. HW3  (due Mon 11:59pm, Feb 16)  
4. HW4  (due Mon 11:59pm, Feb 23)  
5. HW5  (due Mon 11:59pm, Mar 2)  
6. HW6  (due Mon 11:59pm, Mar 30)  
7. HW7  (due Mon 11:59pm, Apr 27)  

1. Midterm exam. (due Sat March 7th, 11:59PM).  Midterm solutions  
2. Final exam. (due Sun May 3, 11:59PM).  Final exam solutions  

• Through Einstein's eyes. Computer code generated (mov) movies that show relativistic effects as speeds get close to the speed of light (or in the simulations just taking c=1). After downloading the zip file, unzip-it and use an appropriate viewer to watch them. VLC works.
• Experimental tests of Coulomb’s Law and the photon rest mass, Metrologia, (2004), by Liang-Cheng Tu and Jun Luo .
• The mass of the photon, Reports on Progress in Physics, (2005), by Liang-Cheng Tu, Jun Luo and George T Gillies.
• Astrophysical upper limits on the photon rest mass, Sov. Phys. Usp (1976), by G.V. Chibisov .

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