Università Roma Tre

=======================SYLLABUS: PHYSICS OF THE MATTER + OPTICS=======================

======================= SYLLABUS: MODULE PHYSICS OF THE MATTER =======================
1. Basics of Quantum Mechanics.
Fundamental experiments. Schroedinger equation, the wavefunction, observables and operators, stationary states. Potential well. 2D potential well: degeneracy. Tunnel effect. Double well. Angular momentum. Spin. Identical particles. Basics of the Hydrogen atom. Quantum numbers, periodic table.

2. Elements of Statistical Mechanics and of Solid State Physics.
Density of states. Thermodynamics. Distribution functions: Boltzmann, Bose-Einstein, Fermi-Dirac. Classical limit. Heat capacity: monoatomic gas, oscillators gas, electron gas. Crystal structures. Direct and reciprocal lattice. Bonds in solids. Lattice vibrations and phonons. Phonon density of states. Debye approximation. Lattice heat capacity.

3. Electrons in periodical structures.
Free and independent electron. Bloch theorem. Nearly-free electrons. Tight binding. Band structures, Brillouin zones, Fermi surfaces. Effective mass, holes, current. dc conductivity.

4. Semiconductors.
Semiconductors. Non-degenerate Semiconductors. Fermi level. Mass action law. Doped semiconductors. Carrier density and Fermi level (chemical potential). Conductivity, mobility. Drift and diffusion current. Generation and recombination. Diffusion equation.

5. Transport.
Boltzmann equation. Relaxation time approximation. Electron thermal conductivity. Seebeck effect, thermoelectric power. Thomson and Peltier effect.

6. Magnetism and Superconductivity.
Classical diamagnetism. Langevin paramagnetism. Basics of Pauli paramagnetism. Ferromagnetism.
Superconductivity. Meissner effect. Critical field and current. London equation. Type-II superconductors.

======================= SYLLABUS: MODULE OPTICS =======================
1. Wave propagation, diffraction and interference
- preliminaries on waves
- Fourier series and integral
- plane-wave expansions
- direct and inverse propagation formulas
- applications: gratings, diffraction-free beams, interferometers, diffractive optical elements, multilayer structures

2. Fresnel and Fraunhofer diffraction
- diffraction from circular and rectangular apertures
- light beams and paraxial optics
- gaussian beams
- applications: Fresnel lenses, collimation and focusing of laser beams, optical resonators

3. Classical theory of coherence
- statistical properties of the scattered field
- mutual intensity and degree of coherence
- intensity correlations
- cross-spectral density
- applications: Fourier spectroscopy, astronomical measurements, optical coherence tomography

4. Optical systems
- basic equations of geometrical optics
- centered optical systems
- imaging in coherent and incoherent light
- aberrations
- OTF and MTF
- applications: typical optical systems and their features, spatial filtering, optical information processing, holography

=======================TEXTBOOKS: PHYSICS OF THE MATTER + OPTICS=======================

======================= TEXTBOOKS: PHYSICS OF THE MATTER =======================

THIS IS A COMPREHENSIVE LIST OF THE TEXTBOOKS WHENCE THE TOPICS ARE TAKEN. ON THE WEBSITE THE SPECIFIC CHAPTERS/PARAGRAPHS ARE LISTED. SLIDES AND SUMMARY PAPERS ARE AVAILABLE ON THE WEBSITE.
WEBSITE (AT THE TIME OF WRITING): http://webusers.fis.uniroma3.it/

D. J. Griffiths, "Introduzione alla Meccanica Quantistica", Casa Editrice Ambrosiana. Traduzione italiana di "Introduction to Quantum Mechanics", Prentice Hall.

D. Halliday, R. Resnick, J. Walker, "Fondamenti di Fisica-Fisica Moderna", quinta ed., Casa Editrice Ambrosiana.

H. Haken, H.C. Wolf, "The Physics of Atoms and Quanta - Introduction to Experiments and Theory", 7th revised edition, Springer Berlin Heidelberg, 2005.
ISBN 978-3-540-20807-5 (Print) 978-3-540-29281-4 (Online)

D. Chowdhury, D. Stauffer, "Principles of Equilibrium Statistical Mechanics", Wiley

M. Razeghi, "Fundamentals of solid state engineering", Kluwer Academic Publishers, 2002.

G. Grosso, G. Pastori Parravicini, "Solid State Physics", Elsevier, 2000.

H. Ibach, H. Lüth, "Solid State Physics", 4th edition, Springer.

R. Marcon, "Proprietà Elettromagnetiche della Materia - Guida alle Lezioni", Casa Editrice CISU.

K. Fossheim, A. Sudbø, "Superconductivity - Physics and applications", John Wiley and Sons, Ltd.

======================= TEXTBOOKS: OPTICS =======================
- F. Gori, "Elementi di Ottica", ed. Accademica (1995)
- Notes provided by the teacher