THE CATHOLIC UNIVERSITY OF AMERICA

PHYSICS DEPARTMENT


PHYS 615, Advanced Mechanics I, Ref. # 1440

Fall 2007, Hannan Hall 103

Monday  4:10-6:00pm     &   Wednesday   5:10-7:00pm

Instructor: Dr. Franz Klein, Assoc. Professor
Office: Hannan Hall 210,     phone: 319-6190
Office hours: Wednesday: 2:00pm-4:00pm 
email: kleinf@cua.edu
web: http://faculty.cua.edu/kleinf

Course description:

PHYS 615
Advanced Mechanics I
3 units
 
Lagrangian and Hamiltonian mechanics, variational principles, theory of small oscillations, and normal coordinates. Rigid body rotations and Hamilton-Jacobi equations.
Prerequisites:
PHYS 511, 512, 535

Textbook:

Course goals:

Course requirements:

Expectations and policies:


 
problems due date
Goldstein chap.1: 1, 5, 12, 13, 15 Sept. 12
assignment 2 Sept. 24
assignment 3 Oct. 15
assignment 4 Nov. 19
assignment 5 Dec. 5

 Date    Chapter   (subject to change)   (abbr: A=Arnold; GP=Goldstein-Poole; JS=Jose-Saletan)
Aug 27
Newtonian Mechanics - Relativity, Determinacy, Eqs. of Motion (A 1-3; GP 1.1; JS 1.1-1.3)
Aug 29 Constraints and Configuration Manifolds (A 3-6; GP 1.3-1.4; JS 2.1,2.4)
Sep 3
Labor Day
Sep 5
D'Alembert's Principle and Lagrange's Equations (A 19-21; GP 1.4; JS 2.2)
Sep 10 Hamilton's Principle (A 12-13; GP 2.1-2.2; JS 3.1)
Sep 12 Symmetry and Conservation; Noether's theorem (A 17,20; GP 2.6-2.7,13.7; JS 3.2,3.4)
Sep 17
Nonpotential Forces - Dissipation Function (GP 1.5,2.4; JS 3.3)
Sep 19 Central Force Motion (A 8; GP 3.1-3.3; JS 2.3)
Sep 24 Virial theorem, Bertrand's theorem (GP 3.4-6; JS 2.3.3)
Sep 26 Kepler problem - Runge-Lenz Vector (GP 3.7-3.9; JS 2.3.2)
Oct 1
Mathematical tools
Oct 3
Scattering (GP 3.10-11; JS 4.1)
Oct 8 Columbus Day
Oct 9
administrative Monday:   Oscillations - Linearization (A 22; GP 6.1; JS 4.2.1)
Oct 10 Midterm exam
Oct 15 Small Oscillations - Vibrations (A 23-24; GP 6.2-6.4; JS 4.2.2)
Oct 17 Coupled Oscillators (A 23-24; GP 6.2-6.4; JS 4.2.2)
Oct 22 Chain of coupled oscillators (Fetter-Walecka 24-25; JS 4.2.3)
Oct 24 Forced oscillations GP 6.5; JS 4.2.4)
Oct 29 Rigid Body Kinematics (A 26; GP 4.1-4.5,4.7-4.9; JS 8.1.1-8.1.3)
Oct 31 Halloween: no class
Nov 5 Inertia tensor - principal axis transformation (A 28; GP 5.2-5.4; JS 8.1.3)
Nov 7 Inertial forces - Coriolis effect (A 27; GP 4.10)
Nov 12 Euler-Lagrange Equations (A 29; GP 4.6,5.5; JS 8.2) 
Nov 14 Symmetrical top (A 30-31; GP 5.6-5.7; JS 8.3)
Nov 21 Thanksgiving recess
Nov 26 Precession (A 30-31; GP 5.8-5.9; JS 8.3)
Nov 28 Precession and Nutation (A 30-31; GP 5.8-5.9; JS 8.3)
Dec 3 Legendre transformation, Hamilton Equations of Motion (A 14-15; GP 8.1-3; JS 5.1)   next semester
Dec 5
Canonical Transformation (A 48; GP 9.1-3; JS 5.3)   next semester
Dec 11 Final Exam (12:00 Modern Physics Lab)
Dec 17 Grades available