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. Here are some
guidelines
for preparing your homework papers.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, and always discuss your result. Check
this list for things you should NOT say
in your solutions!
I strongly recommend that you plan to spend at least 15 minutes per
week consulting with me in office hours. Check my office hours
now, and
let me know if it is impossible for you to attend any of them.
I do not usually hand out homework solutions. However, you may
obtain a solution if you agree to write a one-paragraph discussion of
the solution, including such factors as how it differs from your own
attempt, and what you have learned from reading it. Such
solutions are for your
own personal use and should not be shared with other students.
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 or MATLAB. 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% |
I am a tough grader, so the numbers you get on your assignments may be lower that you have been getting in other classes. An overall score of 80% or better usually gets an A. I do not grade on a curve, because the small numbers in graduate classes make the statistics unreliable. I compare you with the students who have taken this class over the last 20 years.
Please feel free to discuss all aspects of the class with me at any time. Discuss the homework problems among yourselves as well as with me (exams should not be discussed, however). When you discuss problems with other students, general strategies should be discussed, not specific details. Challenge each other! Do not accept what someone else says unless she/he can justify his/her reasoning. Try to attend published office hours, but also feel free to knock on my door whenever I am there. (I'll tell you if I am busy!) It's usually a good idea to make an appointment if you are coming outside office hours.
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: JacksonForLife.pdf
| Physics 704 | |
Course Outline |
Spring 2012 | |
|---|---|---|---|---|
| Date | Jackson Reference | Topic (click on links for lecture notes) |
Problems |
Due date |
| Tu Jan 24 | Introduction (p1-23) Appendices | Overview: Fields and particles. Maxwell's equations.
Units. Boundary conditions Nature of the mathematical problem. Linearity. |
||
| Th Jan 26 |
6.1, 1.1-4, 5.1-3, 5.15 | Derivation of Maxwell's equations from experimental results. | 1.1 |
Jan 26 |
| Tu 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. | ||
| Th Feb 2 |
1.11, 5.16, 6.7,6.8,6.9 | Energy in the EM field.
Capacitance. End of survey of basics. |
1.2, 1.5 |
Feb 2 |
| Fr Feb 3 |
Last Day to drop classes | |||
| Tu Feb 7 |
1.8-10 |
Effect of boundary conditions. Green's Theorem; uniqueness. Formal theorems | ||
| Th Feb 9 | 1.12-13 | Numerical methods | 5.7, 6.11 |
Feb 9 |
| Tu Feb 14 | 2.1-7 |
Derivation
of potential: method of images
Use of images to construct Green function for sphere. |
||
| Th Feb 16 | 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. | 1.17,1.18,1.20 |
Feb 16 |
| Fri Feb 18 |
Last day to add a class |
|||
| Tu 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 |
||
| Th Feb 23 |
8.1-8.4 |
Boundary conditions on wave solutions: wave guides. | 1.24, 2.2 |
Feb 23 |
| Tu Feb 28 |
8.4 |
Rectangular wave guide. | ||
| Th Mar 1 |
3.1-3.4 Lea Ch 8 Sec 8.3 |
Separation of variables in spherical coordinates. |
2.6 |
Mar 1 |
| Tu Mar 6 |
3.5 Lea Ch 8 Sec 8.3 |
Separation of variables in spherical coordinates. Spherical harmonics. |
||
| Th Mar 8 | 3.6, 5.5 Lea Ch 8 Sec 8.3 |
The addition theorem Magnetic field due to a current loop |
2.26a and b, 2.27, 8.5(a) | Mar 8 |
| Tu Mar 13 |
3.7-3.8 Lea Ch 8 Sec 8.4 |
Cylindrical coordinates; Bessel functions |
||
| Th Mar 15 |
8.7, 3.13, 5.13 |
Cylindrical coordinates; Bessel functions Examples. Mixed boundary conditions |
3.3, 3.4 |
Mar 15 |
| Mar 19 - Mar 23 | Spring Break | |||
| Tu Mar 27 | Other problems reducible to Laplace's equation. Current flow. Midterm handed out | 3.12 | Mar 27 | |
| Th Mar 29 | 3.9-3.10 Lea Optional Topic C |
Green's functions in terms of orthogonal functions. I. Spherical coordinates |
||
| Tu Apr 3 |
3.11 | Midterm due at beginning of class Green's function II: Cylindrical coordinates | Midterm due | Apr 3 |
| Th Apr 5 |
3.12 Lea Optional Topic C |
Green's function III: General method using eigenfunctions | 3.16c |
Apr 5 |
| Tu Apr 10 | 6.1-6.4 (14.1) | Green's function for wave equation: causality | 3.26, 3.27 | Apr 12 |
| Th Apr 12 | 4.1, 4.2 | Multipole expansions | ||
| Class project | 3.23,3.24** | May 8 | ||
| Tu Apr 17 | 4.3-4.7 | Quick survey of dielectrics. | 4.1b, c and d, 6.20 | Apr 19 |
| Th Apr 19 | 4.3-4.7 | More on dielectrics | ||
| Tu Apr 24 | 5.6-5.7 | Magnetic moment, Force and torque | 4.5,4.7 |
Apr 26 |
| Th Apr 26 |
7.1-7.3 | Properties of waves: Polarization | ||
| Tu May 1 |
7.1-7.3 | Fresnel formulae | 4.8, 6.8 |
May 3 |
| Th May 3 |
7.3- 7.7 | Waves in plasmas | ||
| Tu May 8 |
7.7-7.11 | Group velocity , pulses Class project written paper due |
5.12,7.2 |
May 10 |
| Th May 10 | Last class. Student reports. Take-home final exam handed out in class |
|||
| Th May 17 |
10:45am - 1:15 pm |
In class Final Examination. |
||
| Th May 17 | 4:00 pm | Take-home final examination due | ||
Phys 704 is a core course in the MS degree in Physics: