Physics From Symmetry – Politecnico di Milano

Argomenti del programma: The algebra of symmetry Discrete symmetry groups, classes, direct product between groups. Continuous symmetry groups and Lie groups, infinitesimal generators of a Lie group. Analytical mechanics Hamilton's variational principle, Lagrangian function, Euler-Jacobi equations, conjugated momenta. Hamiltonian function, Hamilton's equations of motion. Cyclic coordinates, Nother's theorem and conservation laws.