Classical Mechanics
615.453
Course Description
This is an advanced course in classical mechanics that also prepares the student
for the study of advanced modern physics and provides an opportunity to master
the mathematical techniques necessary for quantum mechanics. Topics include the
methods of Lagrangian, Hamiltonian, Euler, Hamilton-Jacobi, canonical
perturbations, and special relativity. These methods are applied to problems of
central force motion, scattering, force-free rigid body motion, and rotation
sensing instruments. Applications are stressed through in-class examples and
homework.
Syllabus
- Newtonian Mechanics
- Variational Mechanics
- Hamilton's Principle and Lagrange's Equation
- Hamilton's Canonical Equations
- Central Force Motion
- Rigid Body Motion
- Canonical Transformations/Hamilton-Jacobi Equation
- Mid-Term Examination
- Canonical Transformations/Hamilton-Jacobi Equation
- Perturbation Theory
- Stability and Chaos
- Special Theory of Relativity
- Review/Catch-Up
- Final Examination
Prerequisites
Vector analysis, differential equations, and intermediate mechanics.
Instructor
Vincent Pisacane received his Ph.D. from Michigan State University and is
currently employed by the Johns Hopkins Applied Physics Laboratory.
E-mail the instructor.
Textbook
Classical Mechanics, Second Edition by Goldstein, Herbert
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Applied Physics Courses | Applied
Physics | Part-Time Engineering
Summer 1998