Electrodynamics (PHYS 70006, CRN 19669)

• General Information (Syllabus)

• Lecture 1: Special theory of relativity.
• Lecture 2: Rotations in 4-space. 4-tensors.
• Lecture 3: Electromagnetic field-strength tensor.
• Lecture 4: Relativistic mechanics and field theory.
• Lecture 5: Charged particle in a vector potential. Dynamics of a vector field, Procca mass term.
• Lecture 6: Electrostatics, the dipole layer.
• Lecture 7: Poisson's equation. Green functions. Conductors.
• Lecture 8: Methods of images. Laplace's equation.
• Lecture 9: Multipole expansions. Electrostatics with ponderable media.
• Lecture 10: Magnetostatics, Biot-Savart Law. Localized current distributions. (expanded)
• Lecture 11: Boundary value problems in magnetostatics. Faraday's Law of induction.

• Appendix: Simple derivation of the Lorentz transformation.
• Appendix: Infinitesimal rotations in Minkowski space. The general Lorentz transformation.
• Appendix: Accelerated clocks and the twin paradox.
• Appendix: Quotient rule of tensor calculus.
• Appendix: Calculus of variations.
• Appendix: The Dirac-delta function.
• Appendix L7.1: Proof of an identity.
• Appendix L7.2: Earnshaw's theorem.
• Appendix L7.3: Green's identities.
• Appendix L7.4: Green's functions.
• Appendix L8.1: Point charge in the presence of a charged, insulated sphere.
• Appendix L8.2: An example for Laplace equation in rectangular coordinates.
• Appendix L8.3: Fields near corners and edges.
• Appendix L8.4: Legendre equation and Legendre polynomials.
• Appendix L8.5: Proof of L8-(83).
• Appendix L8.6: Addition theorem for spherical harmonics.
• Appendix L8.7: Expansion of Green functions in spherical coordinates.
• Appendix: Complex analysis refresher.
• Appendix: Orthogonal functions and expansions.

1. HW1  (due Mon 11:59pm, Sep 09)  
2. HW2  (due Mon 11:59pm, Sep 23)  
3. Bonus practice set 1  (due Fri 11:59pm, Sep 27)  
4. HW3  (due Mon 11:59pm, Oct 14)  
5. HW4  (due Mon 11:59pm, Nov 11)  
6. HW5  (due Wed 11:59pm, Nov 27)  
7. HW6  (due Wed 11:59pm, Dec 11)  

1. Midterm exam. (due Fri. Nov 1, 11:59PM).  Midterm solutions  

• 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 .

• Follow this link for uploading homework and exams.