Physics 511A, 2012: Graduate Electrodynamics

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Back to Physics 511A, 2012: Graduate Electrodynamics.

News

• The final is on Tuesday, 8:30 am, May 8, same classroom. Ilya 03:29, 7 May 2012 (PDT)
• The class is over. Thanks for attending! Ilya 03:37, 7 May 2012 (PDT)
• The last in-class problem solving will be on Apr 24. Ilya 14:49, 19 April 2012 (PDT)
• The second test is Fri, Apr 6, 5:30pm. Please come to N301. The test will cover Chapters 6,7,8,9. Ilya 20:15, 19 March 2012 (PDT)
• Note that, during problem solving sessions, it's not your choice to come to the board to solve a certain problem, but mine. You are responsible for knowing all of the problems. Ilya 20:05, 19 March 2012 (PDT)
• The first test is Fri, Feb 24, 5:30pm. Please come to N301.
• In the last lecture, I have made a repeated sign mistake. The correct expression is $F_{ik}={\frac {\partial A_{k}}{\partial x_{i}}}-{\frac {\partial A_{i}}{\partial x_{k}}}$. Ilya 11:05, 8 February 2012 (PST)
• Welcome to the class! Ilya 14:07, 19 January 2012 (UTC)

Logistics

Office Hours

Thu 2-3pm (my office, MSC N240) and by appointment

Study Session

5:30-7:30pm, Jan 19, Feb 2, Feb 16, Mar 1, 22, Apr 5, 19. These are not mandatory and are, essentially, collective office hours.

Textbooks

Landau and Lifshitz, Volume 2, The Classical Theory of Fields

Landau, Lifshitz, and Pitaevskii, Volume 8, Electrodynamics of Continuous Media

Pre-requisites

Instructor consent

Class structure

Lectures

This is a graduate level class, and I feel that it doesn’t require the rigorous struture of large undergraduate classes. The syllabus below is only my intention, and we will surely deviate from it as the class progresses. The class will consist of regular lectures for three out of four lecture hours. You must read the book chapters assigned for the class before the class. I will only cover some of the harder and more important derivations and definitions in class, but I will expect you to know the rest. I will explicitly point out during the lecture what you need to pay attention to.

Homeworks

There will be no mandatory homework problems, but you will be expected to know how to solve the problems that the textbooks include after all of the sections we cover. I may also distribute additional problems from time to time. You are also responsible for knowing all derivation in the sections that the syllabus covers. Curiously, all problems in the textbook come with solutions. With these solutions and the study sessions, you should be able to prepare to the following.

Problem solving

On Jan 26, Feb 9, Feb 23, Mar 8, Mar 29 (may be rescheduled), Apr 5, Apr 24 (every second Thursday, unless otherwise announced) we will have problem solving session in class. I will call a few of you at random to the board to solve a random textbook problem from the previous two weeks or derivate a result skipped in the last three lectures. These answers will be graded on a standard A through F scale. I expect to call each one of you at least twice during the semester, possibly more.

Exams

We will have two midterms and a cumulative final. All will be in-class, and will be aimed at three hours duration. The final will be May 8, 8:30-11:30. We will find three hours in the evening that work for everyone for both midterms (the weeks of Feb 20 for Midterm 1, and Apr 2 for Midterm 2).

Grading

In class problem solving – 15%

Midterms – 25% each

Final – 35%

If the class scores below B average (85%) for any of the exams, the scores for this particular exam will be curved to B average. If a mean class score is above B, no curving down will happen. I expect that nobody will get 100% on the exams, and typical grades would be around 50% or so, depending on the exam hardness. So curving up is very likely.

Omitted classes

Due to my travel schedule, I will not be able to deliver the following lectures: Jan 24, Feb 6, Feb 28 (possibly), Mar 29 (possibly). You will need to study this material on your own. I will give you, in advance, a collection of chapters and sections within chapters that you will need to read. I will be available before and after these lectures to help you if you don't understand something. With office hours and Study Sessions every two weeks, there will be many opportunities for you to seek help. You may also want to contact the two postdocs who work with me (Martin Tchernookov and Lina Merchan) for help.

Class syllabus

We will cover the following book chapter in class. I will originally aim to cover one ~20-25 pages long chapter every class. I fully expect that we will not be able to keep the pace, and I will announce ahead of each lecture which material you need to read for it. There are 28 lectures in the semester (21 after we remove the in-class problem solving), and I expect to cover only 13 chapters below in the course of the semester. We may end up with as many as 15, or as few as 11. The timeline will develop as the course progresses, and we learn each other's pace. Unless instructed otherwise, you should read all paragraphs in a chapter before the class. I may also rearrange the sequence of chapters (e.g., we may do Chapters 1-4 of Volume 8 after Chapter 5 of Volume 2). Again, I will let you know sufficiently in advance.

Jan 19

Chapter 1, Volume 2. The principle of relativity

Sections 1-5, 7.

Jan 24 -- no class, self-study

Chapter 2, Volume 2. Relativistic mechanics

Sections 8, 9, 11, 14 only.

Jan 26

In-class problem solving

Jan 31 (may slip partially to Feb 2)

Chapter 3, Volume 2. Charges in electromagnetic field

All sections.

Feb 2

Chapter 4, Volume 2. Electromagnetic field equations

Sections 26 - 33

Feb 7 -- no class, self-study

Chapter 4, Volume 2. Electromagnetic field equations

Sections 33 -35

Feb 9

In-class problem solving

Feb 14

Chapter 4, Volume 2. Electromagnetic field equations

Sections 33-35, Note additional homework assignments, addition 1 and addition 2.

Feb 16

Chapter 5, Volume 2. Constant electromagnetic fields

Sections 36-40. Note additional homework assignments.

Feb 21

Chapter 5, Volume 2. Constant electromagnetic fields

Sections 41-44. Note additional homework assignments.

Feb 23

in-class problem solving

Feb 24 -- First test

Feb 28

exam problems solutions

Mar 1

Chapter 6, Volume 2. Electromagnetic waves

All sections

Mar 6

Chapter 7, Volume 2. Propagation of light

Sections 53-57.

Mar 8

In-class problem solving

Mar 12-16 -- Spring break

Mar 20

Chapter 7, Volume 2. Propagation of light

Sections 58-61.

Mar 22

Chapter 8, Volume 2. The field of moving charges

Sections 62-64.

Mar 27

Chapter 9, Volume 2. Radiation of electromagnetic waves

Short lecture

Sections 66-67.

Mar 29 -- no lecture, self-study

Apr 3

Chapter 9, Volume 2. Radiation of electromagnetic waves

Sections 71, 74, 75, 78, 79

Apr 5

In-class problem solving

Apr 6 -- Second test

Apr 10 -- Test solutions

Apr 12

Chapter 1, Volume 8. Electrostatics of conductors

Sections 1, 2, 3, 5

The following notes may be useful: http://www.math.umn.edu/~olver/am_/c.pdf

Apr 17

Chapter 2, Volume 8. Electrostatics of dielectrics

Sections 6, 7, 9, 10 (only elations for energy/free energy of a field inside a dielectric, Eq. 10.15-10.16), 13. Extra reading -- Sections 17, 19.

Apr 19

Chapter 3, Volume 8. Steady current

Sec 21, 22, 23, 24, 26, 28.

Apr 24

In-class problem solving

Apr 26

Chapter 4, Volume 8. Static magnetic field

Sec 29, 30, 31, 33, 34, 35.

May 1

Waves in media

Sec 58, 59, 61, 62, 63, 75, 77, 78, 83, 84, 85, 86.