PHYS 5210
Fall 2024
Graduate Classical Mechanics
Course Information:
Lectures:
- Lecture 1 (August 26): Principle of least action
- Lecture 2 (August 28): Symmetry groups
- Lecture 3 (August 30): Noether's Theorem
- Lecture 4 (September 4): Time-translation and boost symmetries
- Lecture 5 (September 6): Diatomic molecule
- Lecture 6 (September 9): Relativistic particles
- Lecture 7 (September 11): Relativistic charged particles
- Lecture 8 (September 13): Configuration space
- Lecture 9 (September 16): Configuration space of a rigid body
- Lecture 10 (September 18): Euler's equations
- Lecture 11 (September 20): Euler angles
- Lecture 12 (September 23): Lagrangian field theory
- Lecture 13 (September 25): Klein-Gordon equation
- Lecture 14 (September 27): Noether's Theorem in field theory
- Lecture 15 (September 30): Electromagnetism
- Lecture 16 (October 2): Coupling electromagnetism to matter
- Lecture 17 (October 4): Effective field theory of solids
- Lecture 18 (October 7): Elastic stress tensor
- Lecture 19 (October 9): Sound waves in solids
- Lecture 20 (October 11): Hamiltonian mechanics
- Lecture 21 (October 14): Poisson brackets
- Lecture 22 (October 16): Canonical transformations
- Lecture 23 (October 18): Noether's Theorem in Hamiltonian mechanics
- Lecture 24 (October 21): Symplectic geometry
- Lecture 25 (October 23): Rigid body rotation in Hamiltonian mechanics
- Lecture 26 (October 25): Hamiltonian field theory
- Lecture 27 (October 28): Generating functions for canonical transformations
- Lecture 28 (October 30): Hamilton-Jacobi equation
- Lecture 29 (November 1): Action-angle variables
- Lecture 30 (November 4): Adiabatic theorem
- Lecture 31 (November 6): Integrable systems
- Lecture 32 (November 8): Perturbation theory: one degree of freedom
- Lecture 33 (November 11): Perturbation theory: many degrees of freedom
- Lecture 34 (November 13): Perturbation theory: higher order
- Lecture 35 (November 15): Henon-Heiles Hamiltonian
- Lecture 36 (November 18): Kicked rotor
- Lecture 37 (November 20): Logistic map
- Lecture 38 (November 22): Linear stability analysis
- Lecture 39 (December 2): Period doubling
- Lecture 40 (December 4): Butterfly effect
- Lecture 41 (December 6): Fractals
- Lecture 42 (December 9): Fractal attractor in the logistic map
- Lecture 43 (December 11): KAM Theorem
Homework:
Exam: