**Office: **M2042 Physics Research Bldg

**Office Hours:** stop by anytime

**Course Meets: **TuTh 10:20 - 11:40 am, Smith Lab 1138.

**Grader:** Chuck Bryant (office: PRB M2039)

**Tutor:** Alex Davis, office hours: MW 3-4 pm, in PRB 2041

***** First Class Meets Tuesday, August 25, 2015 *****

***** There will be no classes Tuesday, September 8 and Thursday, September 10 - I will be out of town *****

- Special Relativity, Relativistic Mechanics
- Relativistic Charges in Electromagnetic Fields
- Lagrangian for Electromagnetic Fields, Field Strength Tensor, Delta-functions
- Maxwell Equations, Conservation Laws: Energy-Momentum Tensor, Poynting Vector and Energy Density
- Electrostatics, Poisson and Laplace Equations, Green Functions
- Boundary-Value Problems in Electrostatics: Method of Images, Orthogonal Functions, Fourier Series and Integrals, problems with spherical geometry (Legendre Polynomials, Spherical Harmonics) and problems with cylindrical geometry (Bessel Functions)

- Multipole Expansion, Electrostatics of Dielectrics
- Magnetostatics: Biot and Savart Law, Ampere's Law, Magnetic Moment, Boundary Value Problems in Magnetostatics
- Electromagnetic Waves and their Propagation, Kramers-Kronig relations, Elements of Complex Calculus
- Radiation by Localized Charges, Multipole Expansion
- Radiation by Moving Charges, Lienard-Wiechert Potentials, Synchrotron Radiation*
- Radiation Damping*
- Scattering and Diffraction*, Optical Theorem* * = if time allows

- J.D. Jackson - Classical Electrodynamics, 3rd Edition, Google Books
- L.D. Landau, E.M. Lifshitz - The Classical Theory of Fields: Volume 2, Google Books
- A. Zangwill - Modern Electrodynamics, Google Books
- A. Garg - Classical Electromagnetism in a Nutshell, Google Books
- H.C. Ohanian - Classical Electrodynamics, 2nd Edition, Google Books

- L.D. Landau, E.M. Lifshitz, L.P. Pitaevskii - Electrodynamics of Continuous Media: Volume 8
- J. Franklin - Classical Electromagnetism, Google Books
- D.J. Griffiths - Introduction to Electrodynamics, Google Books, (this is a useful book to refresh your memory, but it does not cover all the material we will be talking about in class)

- G.B. Arfken, H.J. Weber, F.E. Harris - Mathematical Methods for Physicists, Google Books - standard Math Methods textbook, very comprehensive
- S.M. Lea - Mathematics for Physicists, Google Books - comparatively brief book, gets straight to the point fast, which is often a plus
- K. Cahill - Physical Mathematics, Google Books - contains interesting connections to modern research topics, though imho could be somewhat challenging for 1st year grad students
- NIST Digital Library of Mathematical Functions - lots of useful formulas
- I.S. Gradshteyn, I.M. Ryzhik - Table of Integrals, Series, and Products, Google Books - comprehensive tables for all occasions

- Special Relativity
- Relativistic Particles in Electromagnetic Fields
- Elements of Complex Analysis
- Lagrangian for the Electromagnetic Field and Maxwell Equations
- Lecture 10
- Lecture 11
- Lecture 12
- Lecture 13
- Lecture 14
- Lecture 15
- Lecture 16
- Lecture 17
- Lecture 18
- Lecture 19a
- Electrostatics
- Midterm Review
- Lecture 20
- Lecture 21
- Lecture 22
- Lecture 23
- Midterm solution
- Lecture 24
- Lecture 25a
- Separation of Variables and Special Functions
- Lecture 25b
- Lecture 26
- Lecture 27
- Lecture 28
- Lecture 29
- Lecture 30
- Lecture 31
- Lecture 32
- Lecture 33
- Lectures 34 and 35
- Final Review

(Solutions are password protected, they are for the use of OSU students and faculty only, please write to me if you are interested in accessing them.)

- HW 1 (due Thursday, September 3) -- Solution 1
- HW 2 (due Tuesday, September 15) -- Solution 2
- HW 3 (due Tuesday, September 22) -- Solution 3
- HW 4 (due Tuesday, September 29 --> deadline changed to Thursday, October 1) -- Solution 4
- HW 5 (due Thursday, October 8 --> deadline changed to Tuesday, October 13) -- Solution 5
- HW 6 (due Tuesday, October 20 --> deadline changed to Wednesday, October 21) -- Solution 6
- HW 7 (due Tuesday, October 27) -- Solution 7
- Practice problems for the midterm: Jackson 11.2, 11.3, 11.7, 11.19, 11.20, 11.21, 11.22, 11.25, 12.1, 12.5, 12.6, 12.10; Zangwill, problems at the end of Chapter 22 (note that many repeat what we did in class and in the homeworks); Landau and Lifshitz, problems worked out in the text and at the ends of the Sections of Chapters 1-4.
- HW 8 (due Tuesday, November 10) -- Solution 8
- HW 9 (due Tuesday, November 17) -- Solution 9
- HW 10 (due Tuesday, November 24) -- Solution 10
- HW 11 (due Tuesday, December 8) -- Solution 11
- Practice problems for the final exam: Zangwill 3.5, 3.12, 3.17, 7.7, 7.9, 7.11, 8.3, 8.7, 8.8, 8.10, 8.14 (a), 8.19

Final - Friday, December 11, 9:45am-11:45am, Smith Lab 1138.

Yuri Kovchegov