# PHYS 611 Theoretical Mechanics

## Mondays, Wednesdays, and Fridays at 13:00 at 318 Willamette.

This the final half quarter of a one and a half quarter graduate level course. It is for students who have taken a course in mechanics beyond what is generally offered in a "general physics" course. Students should also have a good background in mathematics, including linear algebra and complex analysis.

## Text:

• Classical Mechanics, Third Edition, by Goldstein, Poole, and Safko. This is an updated version of the classic 1950 text by Herbert Goldstein.
• Classical Field Theory, D. E. Soper. (Wiley-Interscience, 1976). This is now published in paperback by Dover and available from amazon.com.

## Schedule:

• This class runs for five weeks, until 8 February. Then it turns into Phys 613, Statistical Physics, taught by Prof. Belitz.

• 7 - 11 January. Goldstein sections 7.1, 7.2, 7.4, 7.5, 7.6, 7.9, 7.10.
• 14 - 18 January. Continue with Goldstein sections 7.1, 7.2, 7.4, 7.5, 7.6, 7.9, 7.10.
• 21 - 25 January. Review Goldstein chapter 8 from last quarter, then read chapter 9 about canonical transformations. I will particularly concentrate on the relation of Poisson brackets to canonical transformations.
• 20 - 25 January. Classical Field Theory chapters 1, 2, 3, and 4. (A lot of this is review.)

## Homework:

There will be problems assigned each week in class, due on Wednesdays. Occasionally a problem will involve computer work. I recommend Mathematica, which is available at UO computer labs and the science library. If you already know some other computer language like C++, Fortran, Matlab, or Maple, you can use what you know.
1. Wednesday 16 January: these four problems. Solutions from Y. Sang page 1, page 2, page 3.
2. Wednesday 23 January: Goldstein chapter 7 problems 17, 19, 20, and 22.
3. Wednesday 30 January: Goldstein chapter 9 problems 4, 9, 23, and 39. (For problem 39, you can use your result from problem 9.)
4. Wednesday 6 February: this problem .

## Class notes available in pdf:

1. The principle of stationary action. (3 Oct. version)
2. Symmetries and conserved quantities. (8 Oct. version)
3. Lagrangian with electric and magnetic fields. (10 Oct. version)
4. Numerical methods in mechanics. (22 Oct. version)
5. Free rotation of a rigid body. (5 Nov. version)

## Exams:

• Exam: 8 February, in class. This will serve as the final exam for the class.