Università Roma Tre

The crisis of the classical physics
- Black body radiation
- Planck's formula
- The photoelectric effect
- The Compton effect
- Rutherford's atomic model
- Bohr's quantum theory
- De Broglie's waves

Fundamentals of Quantum Mechanics
- Basic probability theory
- Schroedinger equation and wave function
- Probabilistic interpretation of the wave function
- Measurement problem and collapse of the wave function
- Stern-Gerlach and Young’s experiments
- Physical quantities and operators
- Eigenvalues and eigenfunctions
- Stationary states
- Principle of superposition
- Uncertainty principle

Applications to unidimensional problems
- The potential well
- The harmonic oscillator
- The potential barrier and tunnel effect

Several-particles systems
- Identical particles: Fermi–Dirac and Bose-Einstein statistics
- classical limit and Maxwell-Boltzmann statistics
- Electrons in a crystal: Bloch's theorem
- Quantum entanglement
- EPR paradox and Bell’s theorem
- Fundamentals of qubits and quantum computation

1) D. J. Griffith, "Introduzione alla meccanica quantistica"

OPTICS

- Preliminaries on waves:
Electromagnetic waves
Energy transfer and Poynting’s vector
The scalar approximation
Interference, diffraction and propagation of light

- Paraxial Optics:
The paraxial wave equation
Paraxial plane waves and Talbot effect
Higher-order Gaussian beams
Intensity moments and their propagation
Propagation in quadratic-index media

- Optical coherence theory:
Statistics of speckle
Analytic signal and quasi-monochromatic fields
Temporal coherence
Spatial coherence and the cross-spectral density
Partially polarized light fields

- Some applications of diffraction:
Diffractive optical elements
Holography

- P. Mazzoldi, M. Nigro, C. Voci, “Elementi di Fisica – Elettromagnetismo e Onde”, II edizione, EdiSES (2008)
- F. Gori, Elementi di Ottica, ed. Accademica
- Notes provided by the teacher