A student who has successfully passed the course should be able to
Canonical formalism: Hamiltonian. Canonical equations. Phase portraits. Canonical transformations. Poisson brackets and conservation laws. Liouville's Theorem. Hamilton-Jacobi method: Hamilton-Jacobi equation. Separation of variables. Action-angle variables. Adiabatic invariants.Qualitative behaviour of Hamiltonian systems: Canonical perturbation theory. Chaotic and integrable systems. Kolmogorov-Arnold-Moser Theorem. Chaos in the Solar system. Example of integrability: Calodgero-Moser system.
Lectures and tutorials.
Written examination. In addition there are hand-in problems. Credit points from these are included only in the regular exam and the first regular re-exam.
The course may not be included in the same higher education qualifications as 1FA154 Analytical mechanics and special relativity.
week 45, 2013
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