**Office: **M2042 Physics Research Bldg

**Office Hours:** stop by anytime

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

**Grader:** Shaun Hampton (office: PRB M2025)

**Tutor:** Douglas Wertepny, office hours: Wed, Fri, 3pm-4pm, PRB M2015

***** First Class Meets Tuesday, January 12, 2016 *****

***** There will be no class Tuesday, February 9 - I will be out of town *****

- Special Relativity, Relativistic Mechanics
- Relativistic Charges in Electromagnetic Fields
- Elements of Complex Calculus
- 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

- Boundary-Value Problems in Electrostatics (continued): 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
- Radiation by Localized Charges, Multipole Expansion
- Scattering and Diffraction, Optical Theorem*
- Radiation by Moving Charges, Lienard-Wiechert Potentials, Synchrotron Radiation*
- Radiation Damping* * = 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. Fradkin - 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

- Separation of Variables and Special Functions (continued from Autumn semester)
- Lecture 29
- Lecture 30
- Lecture 31
- Lecture 32
- Lecture 33
- Lectures 34 and 35
- Lecture 1
- Lecture 2
- Lecture 3
- Lecture 4
- Lecture 5
- Lecture 6
- Multipole Expansion
- Electrostatics of Dielectrics
- Magnetostatics
- General Solution of Maxwell Equations
- Midterm Review
- Electromagnetic Waves
- Radiation
- 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 + the Mathematica file (due Thursday, January 21) -- Solution 1
- HW 2 (due Thursday, January 28) -- Solution 2
- HW 3 (due Thursday, February 4 --> deadline changed to Tuesday, February 9) -- Solution 3
- HW 4 (due Tuesday, February 16 --> deadline changed to Thursday, February 18) -- Solution 4
- HW 5 (due Thursday, February 25 --> deadline changed to Monday, February 29) -- Solution 5
- HW 6 (due Thursday, March 3) -- Solution 6
- Sample problems for the midterm: Jackson 3.3, 3.7, 3.8, 3.11, 3.12, 3.14, 3.16, 3.18, 3.23, 3.24, 4.2, 4.9, 4.10, 4.13; Zangwill 3.12, 3.17, 6.1,6.2, 6.3, 6.4, 6.7, 6.21, 6.23, 7.3, 7.11, 8.20
- HW 7 (due Thursday, March 24) -- Solution 7
- HW 8 (due Thursday, March 31) -- Solution 8
- HW 9 (due Thursday, April 7) -- Solution 9
- HW 10 (due Thursday, April 14) -- Solution 10
- HW 11 (due Thursday, April 21) -- Solution 11
- Sample problems for the final: Jackson 5.1, 5.11, 5.15, 5.18, 7.3, 7.4, 7.6, 7.23, 7.24, 9.3; Zangwill 10.7, 10.20, 10.22, 11.2, 11.3, 11.4, 11.5, 11.6, 11.15, 13.13, 13.17, 13.18, 16.1-16.5, 17.6, 17.8, 17.10, 17.12, 18.17, 18.20, 20.19, 20.20, 20.25, 20.27; Ohanian, Chapter 14, problems 12, 15, 18, 20, 23

Final - Tuesday, May 3, 9:30-11:30am, Smith 1138.

Yuri Kovchegov