`BGU Physics Department`
* Analytical Mechanics *

(4.0 points, 5 hours)

## Links

## Syllabus

- Review of Newton laws.
- Generalized coordinates.
- The principle of least action, constraints.
- The Lagrangian for free particle and for a system of particles.
- Conservation laws (energy, momentum, angular momentum).
- The virial theorem.
- Motion in one dimension.
- The two body problem.
- Motion in a central field and Kepler's problem.
- Scattering, total and differential cross sections.
- Rutherford's formula.
- Small oscillations, forced and damped oscillations.
- Motion of a rigid body, the Inertia tensor.
- Space and body frames the Coriolis effect.
- The rotation group, infinitesimal and finite rotations.
- Euler's angles, and Euler's equations.
- Symmetric and asymmetric tops.
- The Hamiltonian and Hamilton's equations.
- Canonical transformations and the Poisson brackets.
- Liouville's theorem.
- The Hamilton-Jacobi equation.

### Sources

- Goldstein, Poole, Safko - Classical Mechanics.
- Landau, Lifshitz - Machanics