These are my lecture notes from Fall Semester 2019. These will be continuously updated over the course of the semester to make the notation more consistent, fill in gaps, and type up the handwritten notes.
Section | Name | Link |
---|---|---|
1-4 | Lecture Notes (v11, Nov 02, 2019) | |
5.1 | Rotations | |
5.2 | Rotations, Rotating Frames | |
5.3 | Rotational Group | |
5.4 | Rotational Kinetic Energy, Moment of Inertia Tensor | |
5.5 | Parallel Axis Theorem, Euler Equations | |
5.6 | Spinning Tops | |
6.1 | Hamiltonian Mechanics | |
6.2 | Virial Theorem, Variational Principle | |
6.3 | Poisson Brackets, Canonical Transformation | |
6.4 | Symmetries and Canonical Transformations | |
6.5 | Harmonic Oscillator, Action-Angle Variables | |
6.6 | Liouville’s Theorem | |
6.7 | Generating Functions for Canconical Transformations |
Problem solving strategies (by R. J. Furnstahl, based on “How to Solve It!” by G. Polya)