PH5110 Classical Mechanics ... (2-0-0) [ spring: alternate years] ... 2 Cr
Next offering Spring 2007
Course Description:
Lagrangian methods, symmetries and conservation laws, variational
formulation, small oscillations, Hamilton's equations, contact
transformations, Poisson brackets, Hamilton-Jacobi theory,
Lorentz-invariant formulation.
Prerequisite: graduate standing or permission of instructor.
Text (Spring, 2005):
Previous Text:
- Classical Mechanics, 2 nd Ed, H. C. Corbin &
Philip Stehle (ISBN 0486680630)
Typical Texts:
- Classical Mechanics, H. Goldstein.
- Mechanics, L.D. Landau and E.M. Lifshitz.
Further Suggested Reference: Mathematical Foundations of Classical
Mechanics, Arnold.
Typical Syllabus (Approximate number of weeks).
- Review of Newtonian Mechanics (1)
- Principle of least action, Lagrange's equation, constants of motion,
central force motion, small oscillations (5)
- Rigid body motion (2)
- Hamilton formalism, contact transformations, Poisson brackets,
Hamilton-Jacobi equation (5)
- Review of special relativity; Lorentz invariant formulation
of Euler-Lagrange's and Hamilton's equations (2)
- Chaotic Motion
Course Rationale:
Introduction to basic concepts of theoretical physics. One of the required core courses for
graduate degrees in Physics.
Last Modified: Wednesday, 29-Dec-2004 13:16:06 EST