Physics 711: Fall Semester, 2014
Instructor: L. Bruch
Office: 5338 Chamberlin
Phone: 2-8968
Office hours: MW 9:30-11:00 AM and by appointment
e-mail: “LWBRUCH@WISC.EDU”
Lecture notes at http://uw.physics.wisc.edu/˜bruch
Class meets: 11:00 AM MWF; Change, Sept 8: 2116 Chamberlin
Texts: A. L. Fetter and J. D. Walecka, “Theoretical Mechanics;” “Nonlinear
Mechanics”
Problem assignments are due on Mondays and will be discussed the following
Wednesday. You are free to collaborate on solving the problems, but in such
cases each student should write up the solution separately.
Grades will be calculated on the basis of two exams [midterm take-home
(30%) and final 2-hour (30%)] and problem sets (40%).
Library materials: Problem solutions will be posted via the Physics Library
Reserves page (4220 Chamberlin) on Wednesdays. Other materials on reserve include:
A. L. Fetter and J. D. Walecka, “Theoretical Mechanics”
A. L. Fetter and J. D. Walecka, “Nonlinear Mechanics”
V. D. Barger and M. G. Olsson, “Classical Mechanics” (2nd edn)
P. G. Bergmann, “Introduction to the theory of relativity”
H. Goldstein, C. Poole, and J. Safko, “Classical mechanics” (3rd edn)
J. V. José and E. J. Saletan, “Classical Dynamics: A Contemporary Approach”
L. D. Landau and E. M. Lifshitz, “Mechanics”
L. D. Landau and E. M. Lifshitz, “Fluid Mechanics”
H. Margenau and G. M. Murphy, “The Mathematics of Physics and Chemistry”
K. R. Symon, “Mechanics” (3rd edn)
1
Assignments and Exams
September 8: Chap. I #4, 5, 6
September 15: Chap. I #8, 12, 13, 18a,b
September 22: Chap. II #1a,4, 7
September 29: Chap. III #1, 8, 14, 17
October 6: Chap. IV #2, 4, 7, 13
Midterm exam – take-home due 5PM October 13
October 27: Chap. V #1, 2, 7, 8
November 3: Chap. VI # 2, 4, 5
November 10: Chap. VII #3, 5a–d, 9, 18
November 24: Chap. VIII #2, 7; Chap. IX #3
December 8: Relativity. (TBA)
FINAL EXAM Wednesday December 17, 12:25 PM
2
Lecture topics: [FW denotes text Fetter & Walecka, LL= Landau &
Lifshitz, G = Goldstein, Poole & Safko, BO = Barger & Olsson, S = Symon,
MM = Margenau & Murphy]
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
Date
topic
W Sep 3
Conservation laws
F Sep 5 2-body, Central force
M Sep 8
Kepler I, Virial
W Sep 10
Kepler II
F Sep 12
Scattering
M Sep 15
Rotations I
W Sep 17
Rotations II
F Sep 19
Lagrange I
M Sep 22
Lagrange II
W Sep 24
Calc. variations
F Sep 26
Hamiltonian
M Sep 29 Symm Princ, Action
W Oct 1
Oscillations I
F Oct 3
Oscillations II
M Oct 6
chains, Exs.
W Oct 8
Contin. limit I
F Oct 10
Contin. limit II
M Oct 13
open
W Oct 15 Nonlinear oscillator
F Oct 17
Nonlinear oscillator
3
text sections
FW 1, 2
FW 2–4; LL 13, 14
FW 4, G 3.4, 3.9; LL 10
FW 3, 5; LL 18
FW 5; LL 19
FW 6–8; G 4.7
FW 8–11
FW 13 – 15; G 1.4
FW 16, 17, 33; G 1.5
FW 17, 18; G 2.2, 2.3
FW 19, 20; G 8.2
FW 20; LL 6–9; G 2.6, 13.7
FW 21, 22; LL 23
FW 23, 24
FW 24
FW 25
FW 25
FW III.7; BO Ch.11
G 6.6; BO 11.2
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
Date
M Oct 20
W Oct 22
F Oct 24
M Oct 27
W Oct 29
F Oct 31
M Nov 3
W Nov 5
F Nov 7
M Nov 10
W Nov 12
F Nov 14
M Nov 17
W Nov 19
F Nov 21
M Nov 24
W Nov 26
M Dec 1
W Dec 3
F Dec 5
M Dec 8
W Dec 10
F Dec 12
W Dec 17
topic
Rigid Body I
Rigid body II
Euler eqns
Euler angles
Differential geometry
Hamilton I
Hamilton II
Canonical trfs, Ad. inv.
Strings I
Strings II
Membranes
Hydrodynamics I
Hydrodynamics II
Hydrodynamics III
Relativity
Lorentz
4-vectors
Lorentz mechanics
Lorentz waves
Lorentz e-m
Collisions
Chaos I
Chaos II
FINAL EXAM
4
text sections
FW 26, 27; LL 32, 33
FW 27, 28; G 5.6
FW 27, 28
FW 29–31; G 4.2, 4.3
G 5.8; MM 4.20, 5.16
FW [18, 20], 32, 33
FW 34; LL 46; G 8.5, 9.9
FW 35, 37; G 9.5; LL 49
FW [25], 38, 39; G 13.1
FW 40, 41, 45
FW 45–47
FW 48
FW 48, 49; S 9.11
FW 52
G Ch 7
G 7.2, 7.3; BO 10.3
S 14.1
S 14.6, 14.7
FW III.9; G 11.4-11.6
FW III.10; G 11.8
12:25 PM