Please read the appropriate section of the text before class. The material will undoubtedly be somewhat mysterious the first time you see it, and you will get more from each class if you have looked at the material in advance.
Assigned problems are listed on the schedule. Doing problems is the essence of a class based on Jackson. I shall collect and grade these every week. Do not get behind! The farther behind you get, the harder it is to catch up. Your grade for the class will be heavily based on these problem grades, although a good deal of credit will be given for a good attempt. (For what "good" means, check here.) You should include a clear and concise discussion of relevant physical principles and mathematical techniques in your solutions. Check this list for things you should NOT say in your solutions!
There will be a take-home
midterm, and an in-class and a take-home final. Problems and the
midterm are due at the
beginning of the class period on the
day indicated. Assignments turned in late will be accepted only under
exceptional
circumstances. While I encourage you to discuss the problems
during the semester in study groups, please be sure that the work you
turn in is your own. Exams may not be discussed with anyone
except me. You can probably find solutions to many of the
problems on the internet. These solutions range from pretty good
to outright wrong. If you can tell the difference, you don't need
the solution. If you can't, the solution won't help you.
Please review the department's plagiarism
policy. Any
use of such internet resources is strictly
forbidden.
Please note that some of the assignments will involve a computer calculation. You must have some familiarity with at least one computer language such as C++, FORTRAN, BASIC, IDL , or a math package such as MATHEMATICA or MAPLE. Computers may also be (and should be) used to construct plots and diagrams in other assignments.
Grades will be assigned on the following basis:
| Homework problems: | Midterm: | Final: | Project |
| 30% | 30% | 35% | 5% |
As graduate students, more is expected of you. You may find it helpful, indeed necessary, to use reference materials other than Jackson. You will need a reference that discusses the basic physical principles: I recommend the Feynman lectures, and also Lea and Burke. You should have access to a mathematical reference work listing integrals as well as properties of mathematical functions such as Legendre polynomials and Bessel functions. The book store has a few copies of Gradshteyn and Ryzhik if you want your own: otherwise using the library should suffice. Other books dealing with the material include: Lea, Mathematics for Physicists, especially Chapter 8 and Optional Topic C; Landau and Lifshitz, Classical Theory of Fields; Schwinger et al, Classical Electrodynamics, Morse and Feshbach, Methods of Theoretical Physics; Jeffreys and Jeffreys, Mathematical Physics, especially Chapters 6, 18, 21, 22 and 24. A good reference for numerical values of functions is Ambramowitz and Stegun, Handbook of Mathematical Functions (USGPO and also Dover). For numerical techniques, I recommend Numerical Recipes, Press et al.
This class will be a challenge for all of us, and I hope that we can
meet it together.
Finally, check out another student's take on this class:
http://people.vanderbilt.edu/~davon.ferrara/JacksonForLife.pdf
| Physics 704 | |
Course Outline |
Spring 2008 | |
|---|---|---|---|---|
| Date | Jackson Reference | Topic (click on links for lecture notes) |
Problems |
Due date |
| Th Jan 24 | Introduction (p1-23) Appendices | Overview: Fields and particles.
Maxwell's equations.
Units. Boundary conditions Nature of the mathematical problem. Linearity. |
||
| Tu Jan 29 |
6.1, 1.1-4, 5.1-3, 5.15 | Derivation of Maxwell's equations from experimental results. | 1.1 |
Jan 29 |
| Th Jan 31 |
1.5-1.7, 5.4, 5.9 6.2, 6.3 , 7.1 |
Scalar and vector potentials. Gauge conditions. Point charge and dipole potentials. Vector and scalar magnetic potentials. | ||
| Tu Feb 5 |
1.11, 5.16, 6.7 | Energy in the EM field.
Capacitance. End of survey of basics. |
1.2, 1.5, 5.1 |
Feb 5 |
| Th Feb 7 |
1.8-10 |
Effect of boundary conditions. Green's Theorem; uniqueness. Formal theorems | ||
| Tu Feb 12 | 1.12-13 | Numerical methods | 1.7, 5.29 Hints |
Feb 12 |
| Th Feb 14 | 2.1-7 |
Derivation
of
potential: method
of images
Use of images to construct Green function for sphere. |
||
| Tu Feb 19 | 2.8-2.11 Lea Chapter 8 sections 8.1 & 2 |
Orthogonal functions: Sturm-Liouville problem. Separation of variables. Rectangular 2-D and 3-D potential problems. Fourier integral. | 1.17, 1.19 |
Feb 19 |
| Wed Feb 20 |
Last day to add or drop a class |
|||
| Th Feb 21 |
2.8-2.11 Lea Chapter 8 sections 8.1 & 2 2.12 |
Use of conformal transformations in 2-D problems. Polar
coords in
2-D Finite element analysis |
||
| Tu Feb 26 |
8.1-8.4 |
Boundary conditions on wave solutions: wave guides. | 1.22, 1.24 | Feb 26 |
| Th Feb 28 |
8.4 |
Rectangular wave guide. | ||
| Tu Mar 4 |
3.1-3.4 Lea Ch 8 Sec 8.3 |
Separation of variables in spherical coordinates. |
2.5 |
Mar 4 |
| Th Mar 6 | 3.5 Lea Ch 8 Sec 8.3 |
Separation of variables in spherical coordinates. Spherical harmonics. |
2.6 |
Mar 6 |
| Tu Mar 11 | 3.6, 5.4-5.5 Lea Chr 8 Sec 8.3 |
The addition theorem Magnetic field due to a current loop |
2.26a,b; 2.27 8.5(a) | Mar 13 |
| Th Mar 13 |
3.7-3.8 Lea Ch 8 Sec 8.4 |
Cylindrical coordinates; Bessel functions |
||
| Tu Mar 18 |
3.1-2 , 8.7, 3.13, 5.13 | Cylindrical coordinates; Bessel functions Examples. Mixed boundary conditions |
3.3, 3.4 Start 3.16! |
Mar 20 |
| Th Mar 20 | 3.3-4, 5.9-12 |
Other problems reducible to Laplace's equation. Current flow. |
||
| Mar 24-31 |
SPRING BREAK, Cesar Chavez day. Start working on P5.30 |
2.6 again! | Apr 1 |
|
| Tu Apr 1 |
3.9-3.10 Lea Optional Topic C |
Green's functions in terms of orthogonal functions. I. Spherical coordinates Midterm handed out |
Midterm due | Apr 8 |
| Th Apr 3 |
3.11 | Green's function II: Cylindrical coordinates | |
|
| Tu Apr 8 | 3.11 Optional Topic C |
Midterm due at beginning of
class Green's function III: General method using eigenfunctions |
3.16c, 5.30 |
Apr 15 |
| Th Apr 10 | 6.4 | Green's function for wave equation: causality | ||
| Class project | 3.23,3.24** | May 15 | ||
| Tu Apr 15 | 4.1, 4.2 | Multipole expansions | 3.26, 3.27 |
Apr 22 |
| Th Apr 17 | 4.3-4.7 | Quick survey of dielectrics. | ||
| Tu Apr 22 | 4.3-4.7 | More on dielectrics | 4.1b, c and d, 6.20 | Apr 29 |
| Th Apr 24 |
5.6-5.7 | Magnetic moment, Force and torque | ||
| Tu Apr 29 |
7.1-7.3 | Force and torque | 4.5, 4.7 |
May 6 |
| Th May 1 |
7.1-7.3 |
Properties of waves: Polarization
Fresnel formulae |
||
| Tu May 6 |
7.3- 7.7 | Waves in plasmas | 4.8, 5.12 |
May 13 |
| Th May 8 | 7.7-7.11 | Group velocity , pulses | ||
| Tu May 13 | 7.7-7.11 | Group velocity , pulses | 7.5 | May 15 |
| Th May 15 | Last day of classes. Student reports. Class
project due Take-home final exam handed out in class |
|||
| Th May 22 | 2:00 pm | Take-home final examination due | ||
| Tu May 20 |
1:30 pm |
In class Final Examination. |
||