PHYS 5210
Fall 2023
Graduate Classical Mechanics
Course Information:
Lectures:
- Lecture 1 (August 28): Principle of least action
- Lecture 2 (August 30): Invariant building blocks
- Lecture 3 (September 1): Noether's Theorem
- Lecture 4 (September 6): Time-translation and boost symmetries
- Lecture 5 (September 8): Harmonic oscillators
- Lecture 6 (September 11): Relativistic particles
- Lecture 7 (September 13): Charged relativistic particles
- Lecture 8 (September 15): Configuration space and Lagrange multipliers
- Lecture 9 (September 18): Configuration space of rigid body rotation
- Lecture 10 (September 20): Euler's equations
- Lecture 11 (September 22): Euler angles
- Lecture 12 (September 25): Spinning top
- Lecture 13 (September 27): Lagrangian field theory
- Lecture 14 (September 29): The Klein-Gordon equation
- Lecture 15 (October 2): Noether's Theorem in field theory
- Lecture 16 (October 4): Electromagnetism
- Lecture 17 (October 6): Coupling electromagnetism to matter
- Lecture 18 (October 9): Effective field theory of solids
- Lecture 19 (October 11): Elastic solids
- Lecture 20 (October 13): Sound waves in solids
- Lecture 21 (October 16): Hamiltonian mechanics
- Lecture 22 (October 18): Poisson brackets
- Lecture 23 (October 20): Poisson brackets as a Lie algebra
- Lecture 24 (October 23): Canonical transformations
- Lecture 25 (October 25): Noether's Theorem in Hamiltonian mechanics
- Lecture 26 (October 27): Rigid body rotation in Hamiltonian mechanics
- Lecture 27 (October 30): Generating functions for canonical transformations
- Lecture 28 (November 1): Hamilton-Jacobi equation
- Lecture 29 (November 3): Action-angle variables
- Lecture 30 (November 6): Adiabatic theorem
- Lecture 31 (November 8): Integrable systems
- Lecture 32 (November 10): Perturbation theory: one degree of freedom
- Lecture 33 (November 13): Perturbation theory: many degrees of freedom
- Lecture 34 (November 14): Henon-Heiles Hamiltonian
- Lecture 35 (November 17): Kicked rotor
- Lecture 36 (November 27): Logistic map
- Lecture 37 (November 29): Linear stability analysis
- Lecture 38 (December 1): Period doubling
- Lecture 39 (December 4): Fractals
- Lecture 40 (December 6): Fractal structure of attractors
- Lecture 41 (December 8): The butterfly effect
- Lecture 42 (December 11): KAM Theorem
Homework:
Exams: