PSI 2018/2019 - Classical Physics (Kubizniak)

Euler-Lagrange equations, Integrals of motion, Noether's theorem

Hamilton's equations, Poisson brackets, Canonical transformations

Hamiltonian vector flows, Hamilton's function, Liouville's theorem, Hamilton-Jacobi equation

Integrable systems, Hidden symmetries, Laplace-Runge-Lenz vector

Constraints, Vibrations of string: from discrete to continuum

Maxwell's theory: charge conservation, Maxwell's triumph, potentials, wave equations

Retarded Green's function, From Maxwell to special relativity

Relativistic particle, Relativistic field theories, Canonical energy momentum, Action for Maxwell