1) Introduzione

Black-body and UV catastrophe, Planck idea, specific heat, photoelectric effect, Bohr atom, Bohr-Sommerfeld. Compton effect and DeBroglie.

2) Quantum Mechanics

Schrodinger equation and properties, free solution, one-dimensional case. Probabilistic interpretation of wave function.

General formalism: Hilbert spaces , states, observables/operators,

probabilities, expectation values medi, complete set of observables, measures,Heisenberg relations. One-dimensional systems: well, tunnelling, transmission and reflections, scattering. Harmonic oscillator

(analytic and algebric solution). Angular orbital momentum, spherical harmonics a. Rotations and symmetries, unitary transformations. Three-dimensional systems: rotational invariance, central potentials, hydrogen atom. Introduction of magnetic field, gauge symmetry, Landau levels. General theory of angular momentum: algebraic solution, spin and sum of angular momentums. Time-independent perturbation theory: non-degenerate and degenerate cases.

Time-dependent perturbation theory: general formalism, transition amplitudes, Fermi golden rules.

3) Application to atomic physics.

Variazional method and applications. Spin-statistics, Pauli principle, bosons e fermions, applications to multi-electron atoms, helium atom. Atoms in magnetic field: Zeeman effetcs, transitions. Fine structure: relativistic corrections, spin-orbit etc.. Comparison with exact Dirac solution. Hyperfine structure. Self-consistent methods: Hartree-Fock and generalizations (general formalism).