|Department of Physics and Astronomy|
Instructor: Professor Volker E. Oberacker
Office: Stevenson Center, 6th floor, room 6625
Class meetings: MWF, 11:10 a.m. - 12:00 p.m., SC 6638
Office hours: Mon 1-2 pm, Tue 10-11 am, Thu 10-11 am.
Graduate-level core course of theoretical mechanics. The main topics are: Newton's laws, classical conservation laws for N particles (linear and angular momentum, energy). Galilei's relativity principle. Variational calculus, principle of least action and Lagrange equations. Two-body problem and central forces, theory of elastic scattering. Rotating reference frames (centrifugal and Coriolis forces), rigid body motion. Hamilton's canonical equations, motion in phase space. Classical Chaos. Canonical transformations and Poisson brackets. Hamilton-Jacobi equation. Small oscillations. Brief introduction to hydrodynamics.
Textbook: Goldstein, Poole, and Safko: "Classical Mechanics", 3rd edition,
Addison Wesley, ISBN 0-201-65702-3
Course Website: http://www.vanderbilt.edu/AnS/physics/volker/p305/
Physics 308: Mathematical Methods for Physicists (or equivalent)