Prof. Marco Finazzi

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.

Argomenti del programma: Quantum states. Introduction to quantum phenomena. Measurements: intrinsic uncertainties. Probability and probability density. Quantum states. Observables. " Proper" states and superposition states. Observables and operators. Hilbert space of quantum states. Dirac notation: ket and bra. Hermitian operators: eigenstates and eigenvalues. Generalized statistical interpretation. Commutators.