Dynamics
Advanced treatment of classical mechanics, including Lagrange's and Hamilton's equations, rigid body motion, and canonical transformations.
PHSCS
721
 Hours3.0 Credit, 3.0 Lecture, 0.0 Lab
 PrerequisitesPHSCS 601 & PHSCS 602; Phscs 321 or equivalent.
 TaughtFall even years
Course Outcomes: 


Langrangian Mechanics

Solve problems using the calculus of variations, including constraints. Solve problems using Lagrangian dynamics and generalized coordinates, including conserved quantities and forces of constraint.

Central Focus and Normal Modes

Solve central force problems, including 2-body gravitation and perturbations to circular motion, problems involving coupled oscillators, and analyze for normal modes.

Relativity

Solve problems in special relativity using its 4-vector formulation.

Hamiltonian Dynamics

Solve dynamics problems using the Hamiltonian and canonical transformations. Also solve dynamics problems using Hamilton-Jacobi theory and action-angle variables, including adiabatic invariants and perturbation theory.