Recommended reading: Handouts are given throughout the course Notes: 24 hours lectures + 24 hours exercises ******************************************************************************* ^ : 50900585 Course title: Numerical Methods Type of course: lecture and computer laboratory Level of course: First Degree Course Year of study: 2nd Duration: trimester Period: 1° Trimester  Autumn (OctDec) Number of credits: 5 Name of Lecturer: V. Carbone Teaching methods: lectures Assessment methods: oral exam Language of instruction: Italian Objective of course: Students should learn how to use a computer to numerically solve differential equations such as that used to study fluiddynamics. Prerequisites: Differential Calculus (50900381) Integral Calculus (50900382) Differential Equations (50900583: should be followed simultaneously) ^ : Numerical methods for fluid equations. Finite differences. Compact differences. Spectral and pseudospectral methods. Numerical equations for kinetic equations. Particle and Monte Carlo simulations. Recommended reading: Handouts are given throughout the course Notes: 24 hours lectures + 24 hours exercises ******************************************************************************* ^ : 50900021 Course title: Analytical Mechanics Type of course: lectures Level of course: First Degree Course Year of study: 2nd Duration: trimester Period: 1° Trimester  Autumn (OctDec) Number of credits: 5 Name of Lecturer: G. Zimbardo Teaching methods: lectures Assessment methods: written and oral exams Language of instruction: Italian Objective of course: Students should understand the Lagrange and Hamiltonian formulation of classical mechanics. Prerequisites: Mechanics (50900386) Supplements to Mechanics (50900387) Differential Equations (50900583: should be followed simultaneously) ^ : Principle of virtual works. Lagrange’s equations. Principle of minimum action. Conservation theorems and symmetries. Hamilton’s equations. Canonical transformations. HamiltonJacobi’s equations. Lagrangian of a relativistic particle. Relativistic formulation of Hamilton’s equations. ^ : H. Goldstein. Classical Mechanics. L.D. Landau, E.M. Lifshits. Mechanics. Notes: 24 hours lectures + 24 hours exercises ******************************************************************************* ^ : 50900577 Course title: Electrostatics and Magnetostatics Type of course: lectures Level of course: First Degree Course Year of study: 2nd Duration: trimester Period: 1° Trimester  Autumn (OctDec) Number of credits: 5 Name of Lecturer: A. Oliva Teaching methods: lectures Assessment methods: written and oral exams Language of instruction: Italian Objective of course: Students should understand the properties of electric and magnetic fields, their sources and their behavior in vacuum and in matter. Prerequisites: Mechanics (50900386) Differential Equations (50900583: should be followed simultaneously) ^ : Electricity. Coulomb’s force. Superposition principle. Electric fields. Electric potential. Electric field in conductors. Electrostatic energy. Electrostatic equations. Dielectrics. Currents. Ohm’s Laws. Energy dissipation in a resistor. Magnetic force within an electric wire. Lorentz’s law. Magnetostatic equations. Potential vectors. Coulomb’s gauge. Poisson’s equation. Biot and Savart’s Law . Ampere’s Theorem. Motion of a charged particle in a magnetic field. ^ : M. Alonso, E.J. Finn. Fundamental University Physics, Volume II. Inter European Editions: Amsterdam, 1974 Notes: 24 hours lectures + 24 hours exercises ******************************************************************************* ^ : 50900584 Course title: Mathematical Methods for Physics Type of course: lectures Level of course: First Degree Course Year of study: 2nd Duration: trimester Period: 2° Trimester  Winter (January  March) Number of credits: 5 Name of Lecturer: G. Nistico` Teaching methods: lectures Assessment methods: written and oral exams Language of instruction: Italian Objective of course: Students should be able to handle functions of complex variable and calculate integrals within complex planes. They should be able to derive ordinary and partial differential equations relevant in physics. Prerequisites: Differential Calculus (50900381) Integral Calculus (50900382) Differential Equations (50900583) ^ : Functions of a complex variable. Integration on the complex plane. Ordinary differential equations with singular points. Fourier and Laplace transformation. Differential equations with partial derivatives. Helmholtz equation. Diffusion equations. Legendre polynomials, spherical harmonics. Hermite polynomials. Use of eigenvalues and eigenvectors for solving differential equations with partial derivatives. ^ : Notes: 24 hours lectures + 24 hours exercises ******************************************************************************* Course code: 50900578 Course title: Electromagnetism ^ : lectures Level of course: First Degree Course Year of study: 2^{rd} Duration: trimester Period: 2° Trimester  Winter (January  March) Number of credits: 2 Name of Lecturer: A. Oliva Teaching methods: lectures Assessment methods: written and oral exams Language of instruction: Italian Objective of course: Students should understand the covariant formulation of Maxwell equations and the derivation of wave equations from them. Moreover, they should learn to characterize the properties of electromagnetic waves as a function of their source and the medium within which they propagate. Prerequisites: Electrostatic and Magnetostatic (50900577) Differential Equation (50900583) ^ : Faraday’s laws. Equation for the rotor of magnetic fields. Displacement currents. Maxwell equations. Covariant formulation of Maxwell equations. Poynting’s Theorem. Wave equations. Lorentz gauge. Retarded and anticipated solutions for potentials. Spherical wave. Oscillating dipole. Scattering of light in dipole approximations. Rayleigh’s scattering. Thompson’s cross section. ^ : M. Alonso, E.J. Finn. Fundamental University Physics, Volume II. Inter European Editions: Amsterdam, 1974 Notes: 24 hours lectures + 24 hours exercises ******************************************************************************* ^ : 50900127 Course title: Fluid Mechanics Type of course: lectures plus computer laboratory Level of course: First Degree Course Year of study: 2nd Duration: trimester Period: 2° Trimester  Winter (January  March) Number of credits: 5 Name of Lecturer: V. Carbone Teaching methods: lectures Assessment methods: oral exam Language of instruction: Italian Objective of course: Students should learn the basic equations of fluiddynamics and understand how they can be solved numerically, with the help of a computer. Prerequisites: Differential equations (50900583) Electrostatic and Magnetostatic (50900577) ^ : Continuous description of matter. Stress and deformation tensors. NavierStokes’ equations. Bernoulli’s Theorem. Laminar solutions of fluid equations. Collective instabilities. Couette’s instability and rotative fluids. KelvinHelmholtz instability. Nonlinear effects and Lorentz system. Deterministic chaos and transitions to chaos. Fully developed turbulence. Intermittence. Anisotropic fluid and magnetofluids. ^ : Handouts are given throughout the course Notes: 24 hours lectures + 24 hours exercises ******************************************************************************* Course code: 50900579 Course title: Wave Phenomena ^ : lectures Level of course: First Degree Course Year of study: 2nd Duration: trimester Period: 3° Trimester Spring (April  June) Number of credits: 5 Name of Lecturer: A. Oliva Teaching methods: lectures Assessment methods: writen and oral exams Language of instruction: Italian Objective of course: Students should understand the properties of waves, with particular attention to electromagnetic waves and their properties of reflection, refraction, interference and diffraction. Prerequisites: Electromagnetism (50900578) Fluid Mechanics (50900127: strongly suggested) ^ : Wave equations. Elastic waves. Waves in fluids. Electromagnetic waves in vacuum. Plane monochromatic waves. Geometrical optics. Reflection, refraction, interference, diffraction. Electromagnetic waves in matter. Group velocity. Light dispersion. Light polarization. Guides of electromagnetic waves. Oscillating cavities. ^ : M. Alonso, E.J. Finn. Fundamental University Physics, Volume II. Inter European Editions: Amsterdam, 1974 Notes: 24 hours lectures + 24 hours exercises ******************************************************************************* ^ : 50900436 Course title: Introduction to Quantum Physics Type of course: lectures Level of course: First Degree Course Year of study: 2nd Duration: trimester Period: 3° Trimester Spring (April  June) Number of credits: 5 Name of Lecturer: A. Papa Teaching methods: lectures Assessment methods: written and oral exams Language of instruction: Italian Objective of course: Students should understand the fundamental experiments which lead to the appearance of quantization in atomic physics. They should learn the principles of quantum mechanics, through the formalism of wave mechanics. Prerequisites: Differential Calculus (50900381) Integral Calculus (50900382) Differential Equations (50900583: should be followed simultaneously) Mathematical Methods for Physics (50900584) Mechanics (50900386) Electrostatic and Magnetostatic (50900581) Electromagnetism (50900578) Wave phenomena (50900579: students are strongly advised to follow this simultaneously) ^ : Quantization in light (black body, photoelectric effect, the Compton effect) and in matter (Bohr’s atom, FranckHertz’s experiment, SternGerlach’s experiment). Young’s doubleslit experiment. De Broglie’s hypothesis of matter waves. Heisenberg indetermination. Principles of quantum wave mechanics. Schrödinger’s equation. Onedimensional systems. Harmonic oscillators. Introduction of orbital angular momentum and spherical harmonics. ^ : A. Messiah. Quantum Mechanics M. Born. Atomic Physics L.D. Landau, E.M. Lifshits. Quantum Mechanics, L.D. Landau, E.M. Lifshits. Nonrelativistic Theory J.J. Sakurai. Modern Quantum Mechanics Notes: 24 hours lectures + 24 hours exercises ******************************************************************************* ^ : 50900588 Course title: Statistical Mechanics Type of course: lectures Level of course: First Degree Course Year of study: 2nd Duration: trimester Period: 3° Trimester Spring (April  June) Number of credits: 5 Name of Lecturer: P. Veltri Teaching methods: lectures Assessment methods: written and oral exams Language of instruction: Italian Objective of course: Students should understand the theory of ensembles and the connection between thermodynamics and statistical mechanics. Prerequisites: Analytical Mechanics (50900021) ^ : Phase space. Liouville equation. Quantization of phase space. Ensemble theory. Microcanonical, canonical and grancanonical ensembles. Partition function. Statistical definition of thermodynamic variables and potentials. State equations of an ideal gas. State equations of a real gas. BBJGKY hierarchy. Boltzmann’s equation. Htheorem. ^ : Notes: 24 hours lectures + 24 hours exercises (the latter includes some computerwork) ******************************************************************************* Course code: 50900592 Course title: Nuclei and particles ^ : lectures Level of course: First Degree Course Year of study: 3rd Duration: trimester Period: 1° Trimester  Autumn (OctDec) Number of credits: 5 Name of Lecturer: E. Lamanna Teaching methods: lectures Assessment methods: written and oral exams Language of instruction: Italian Objective of course: Students should understand the main properties underlying the fundamental interactions between elementary particles and become familiar with models used to describe the structure of the nucleus. Prerequisites: Introduction to Quantum Physics (50900436) ^ : Cross sections. Inclusive reactions and their characteristic spectra. Fundamental interactions and coupling constants. Nuclear structure. Nuclear form factors. Binding energy. Nuclear models. Elements of nuclear instability. Structure of subnuclear particles. Introduction to elementary particle physics. Form factors and structure functions. The Quark model. ^ : Handouts are given throughout the course Notes: 32 hours lectures + 12 hours exercises ******************************************************************************* Course code: 50900598 Course title: Advanced Mathematical Methods ^ : lectures Level of course: First Degree Course Year of study: 3rd Duration: trimester Period: 2° Trimester  Winter (January  March) Number of credits: 5 Name of Lecturer: Teaching methods: lectures Assessment methods: written and oral exam Language of instruction: Italian Objective of course: Students should understand the properties of Hilbert spaces and the operators acting on them, with special reference to the connection of these operators with observables in quantum mechanics. Prerequisites: Geometry (50900383) Linear Algebra (50900384) Mathematical Methods for Physics (50900584) ^ : Spaces with internal products. The Norm. Hilbert spaces. Riesz lemma. Orthogonal projectors. Orthonormal bases. Dual of a Hilbert space. Riesz Theorem. Operators in Hilbert spaces. Limited operators, Hermitian operators. Matrix representation. Unitary and isometric operators. Spectral properties of operators in Hilbert spaces. Spectral Theorem. Physical applications. ^ : Handouts are given throughout the course Notes: 24 hours lectures + 24 hours exercises ******************************************************************************* Course code: 50900597 Course title: Quantum Mechanics ^ : lectures Level of course: First Degree Course Year of study: 3^{rd} Duration: trimester Period: 2° Trimester  Winter (January  March) Number of credits: 5 Name of Lecturer: R. Alzetta Teaching methods: lectures Assessment methods: written or oral exam Language of instruction: Italian Objective of course: Students should learn the Dirac formalism for quantum mechanics and use it to study quantum systems such as the harmonic oscillator and the hydrogen atom. Prerequisites: Introduction to Quantum Physics (50900436) Advanced Mathematical Methods (5090098: students are strongly advised to follow this course simultaneously ^ : Mathematical formalism of quantum mechanics. Schrödinger and Heisenberg pictures. States and observables. Bras and kets. Matrix representation. Theory of angular momentum. Particle in a central potential. Hydrogen atom. Intrinsic angular momentum (spin). Addition of angular momenta. Harmonic oscillator with the operator formalism. Twostate systems. Timedependent perturbations. ^ : J.J. Sakurai. Modern Quantum Mechanics Notes: 24 hours lectures + 24 hours exercises ******************************************************************************* Course code: 50901075 Course title: Advanced Mathematical Analysis ^ : lectures Level of course: Advanced Level Course Year of study: 1st Duration: trimester Period: 1° Trimester  Autumn (OctDec) Number of credits: 5 Name of Lecturer: Teaching methods: lectures Assessment methods: written and oral exams Language of instruction: Italian Objective of course: Students should understand the formal theory of integration and differential equations. Prerequisites: Differential Calculus (50900381) Integral Calculus (50900382) Differential Equations (50900583) ^ : Riemann and Lebesgue integration. Jordan measure. Lebesgue measure . Systems of ordinary differential equations. The Cauchy Theorem of existence and unicity . Qualitative studies of differential equations: selected problems. Recommended reading: Handouts are given throughout the course Notes: 32 hours lectures + 12 hours exercises ******************************************************************************* ^ : Course title: Inelastic Scattering Type of course: lectures Level of course: Advanced Level Course Year of study: 1st Duration: trimester Period: 1° Trimester  Autumn (OctDec) Number of credits: 5 Name of Lecturer: G. Susinno Teaching methods: lectures Assessment methods: oral exam Language of instruction: Italian Objective of course: Students should learn relativistic kinematics and dynamics and acquire a phenomenological understanding of fundamental interactions, their properties and be able to describe these with Feymann diagrams. Prerequisites: Introduction to Quantum Physics (50900436) Particles and Nuclei (50900592) ^ : The principles of special relativity. Lorentz covariant formulation of electrodynamics. Gauge invariance. Quantum electrodynamics (QED). Feynamn rules of QED. Treelevel cross section in QED. Quantum chromodynamics. Parton’s model. Deep inelastic scattering. Proton structure functions. ^ : Handouts are given throughout the course Notes: 32 hours lectures + 12 hours exercises ******************************************************************************* Course code: 50901781 Course title: Nuclear and Subnuclear Physics ^ : lectures Level of course: Advanced Level Course Year of study: 1st Duration: trimester Period: 2° Trimester  Winter (January  March) Number of credits: 5 Name of Lecturer: E. Lamanna Teaching methods: lecures Assessment methods: oral exam Language of instruction: Italian Objective of course: Students should learn the phenomenology of fundamental interactions in more detail and become familiar with the models which describe the structure of nuclei and the quark structure of hadrons. Prerequisites: Particles and Nuclei (50900592) ^ : The Quark model. Color interactions. Matter instability. Weak interactions. Symmetry breaking. Elements of the Standard Model. Multiparticulate structures : positronium, quarkonium, particles, nuclei. Connection between micro and macrocosm. Recommended reading: Handouts are given throughout the course Notes: 32 hours lectures + 12 hours exercises ******************************************************************************* ^ : Course title: Advanced Mathematics for Physics Type of course: lectures Level of course: Advanced Level Course Year of study: 1st Duration: trimester Period: 2° Trimester  Winter (January  March) Number of credits: 5 Name of Lecturer: G.. Nistico` Teaching methods: lectures Assessment methods: written and oral exams Language of instruction: Italian Objective of course: Students should learn the basics of group theory for physics, the theory of representation of groups and the theory of distributions. Prerequisites: Mathematical Methods of Physics (50900584) Advanced Mathematical Methods (50901075) ^ : Group theory. Theory of group representation. Schur’s lemma. Lie groups. Infinitesimal generators. Lorentz groups. Poincaré group . Distribution theory. Green’s functions. Dispersion relations. Recommended reading: Handouts are given throughout the course Notes: 32 hours lectures + 12 hours exercises ******************************************************************************* ^ : Course title: Theory of Free Relativistic Fields Type of course: lecture Level of course: Advanced Level Course Year of study: 1st Duration: trimester Period: 3° Trimester Spring (April  June) Number of credits: 5 Name of Lecturer: R. Fiore Teaching methods: lectures Assessment methods: oral exam Language of instruction: Italian Objective of course: Students should understand the foundations of relativistic field theory, both classical and quantum, in the absence of interactions. Prerequisites: Advanced Quantum Mechanics Course contents: Classical and quantum Lagrangian field theory. Symmetries and conservation laws. Real and complex scalar fields. Electromagnetic fields. Dirac field. Covariant commutation relations. Propagator theory. ^ : Ryder. Quantum Field Theory Mandl and Shaw. Quantum Field Theory Notes: 32 hours lectures + 12 hours exercises ******************************************************************************* ^ : Course title: Unification of Fundamental Interactions Type of course: lecture Level of course: Advanced Level Course Year of study: 1st Duration: trimester Period: 3° Trimester Spring (April  June) Number of credits: 5 Name of Lecturer: G. Susinno Teaching methods: lectures Assessment methods: oral exam Language of instruction: Italian Objective of course: Students should learn the Standard Model of fundamental interactions in a unified way based on the gauge symmetry. Prerequisites: Inelastic Scattering Course contents: Spontaneous symmetry breaking. Goldstone bosons. Higgs mechanism. Weak interaction phenomenology. Interaction of electromagnetic and weak interactions. The Standard Model of fundamental interactions. ^ : Handouts are given throughout the course Notes: 32 hours lectures + 12 hours exercises ******************************************************************************* Course code: Course title: Field Quantization and Quantum Statistics ^ : lecture Level of course: Advanced Level Course Year of study: 1st Duration: trimester Period: 3° Trimester Spring (April  June) Number of credits: 5 Name of Lecturer: R.. Alzetta Teaching methods: lectures Assessment methods: oral exam Language of instruction: Italian Objective of course: This course is addressed to all students, not only those oriented towards nuclear or particle physics. Students should learn the basics of the field quantization and of quantum statistical mechanics. Prerequisites: Advanced Quantum Mechanics ^ : Harmonic oscillator with the operator formalism. Coupled oscillators. Phonons. Coherent states of the harmonic oscillator. Systems of indistinguishable particles. Fock’s space. Density matrix. Field operators. Field quantization. Quantum statistics. Bose and Fermi’s ideal gas. Critical phenomena. Response and Green’s functions, propagators. Propagators in the formulation of functional integration. ^ : Handouts are given throughout the course Notes: 32 hours lectures + 12 hours exercises ******************************************************************************* Course code: 50900593 Course title: Stars and Galaxies ^ : lectures Level of course: First Degree Course Year of study: 3rd Duration: trimester Period: 1° Trimester  Autumn (OctDec) Number of credits: 5 Name of Lecturer: G. ZIMBARDO, V.CARBONE Teaching methods: lectures, data analysis by computer Assessment methods: Written (3 hours) plus oral exams Language of instruction: ItalianEnglish if requested ^ : Students should understand the basic concepts of astrometry, the classification schemes for stars and galaxies, the main features of star formation and evolution in relation to relevant physical laws. Prerequisites: Fluid Mechanics (50900127) Introduction to Quantum Physics (50900436) ^ : This course covers the basic concepts of astrometry such as apparent and absolute brightness, color indexes, the Hertzsprung Russell diagram, absorption lines and black body radiation. In addition the solar structure, star formation and Jeans mass and instability are also addressed as is the production of energy in the star nucleus and the equations of stellar structure. Dimensional analysis and scaling laws for main sequence stars, star evolution, white dwarfs, red giants, supernovae and neutron stars are considered at an introductory level. The quantum principles of indetermination and of exclusion are considered in connection with Chandrasekhar mass limit. Pulsars as neutron stars, the solar cycle and variability, and data analysis in the solar wind are addressed. The structure of the Milky Way and the local group of galaxies are described. Galactic coordinates, galactic rotation, missing mass are discussed, as well as the Hubble law of galaxy motion and the critical mass density of the universe. ^ : Abell. Introduction to Astronomy Notes: There are 36 h of lectures and 12 of laboratory. ******************************************************************************* Course code: 50901137 Course title: Laboratory of Electronics ^ : Lectures and laboratory Level of course: First Degree Course Year of study: 2nd Duration: trimester Period: 3° Trimester Spring (April  June) Number of credits: 5 Name of Lecturer: Carlo Versace (lectures)  Riccardo Barberi (laboratory) Teaching methods: Lectures and laboratory Assessment methods: Circuits practice and written examination  3 hours ^ : Italian Objective of course: Students should understand the basics of laboratory electronics and the combinatorial and sequential logic networks. They should be able to design and build basic analogue electronic circuits (amplifiers, converters and oscillators) using operational amplifiers. They should be able to analyze and simplify combinatorial logic functions and to implement them using logic circuits. Prerequisites: Electromagnetism (50900578) Laboratory of Electromagnetism (50900581) Electronic Techniques and Devices (50900454) ^ : Theory and applications of operational amplifiers (theory 4 hours + laboratory 6 hours). Characteristics of electronic amplifiers: stability and oscillations (theory 2h). Systems and codes of numeration (theory 2h). The Boole's algebraic, logic gates (theory 4h + lab 3h). Logic circuits and arithmetical operations (theory 2h + lab 3h). multiplexers (theory 2h + lab 3h). logic families and their characteristics (theory 2h). Flipflop circuits (theory 2h + lab 3h). Elements of sequential circuit networks (theory 4h + lab 2h). ^ : J.Millman and A. Grabel. Microelectronica (2d Ed.). McGrawHill (Italian or English version). W.Kleitz. Digital electronics. Prentice Hall. ******************************************************************************* ^ : 50900454 Course title: Electronic Techniques and Devices Type of course: Lectures and laboratory Level of course: First Degree Course Year of study: 2nd Duration: trimester Period: 2° Trimester  Winter (January  March) Number of credits: 5 Name of Lecturer: Carlo Versace (lectures and laboratory) Teaching methods: Lectures and laboratory Assessment methods: Circuits practice and written examination  3 hours ^ : Italian Objective of course: Students should understand the principles of electronic techniques, the elementary principles of semiconductor physics of electric currents in semiconductors and junctions. They should understand the working principles of single and doublejunction electronic devices. Students should be able to properly use basic laboratory electronics (ammeters, voltmeters, ohmmeters, oscilloscopes), to design and build basic electric circuits (voltage partitors and filters, resonant circuits) and elementary electronic circuits involving junction diodes and transistors. Prerequisites: Electromagnetism (50900578: Laboratory of Electromagnetism (50900581) ^ : Elements of the theory of electronic circuits (6 hours theory + 12 hours laboratory). Elements of the physics of semiconductors (2h theory). The pn junction, diodes, elements of optoelectronics (5h theory + 6h lab). The bipolar junction transistor (5h theory + 3h lab). Transistor amplifiers (4h theory + 6h lab). JFET, MESFET, MOSFET (2h theory) ^ : J. Millman and A. Grabel. Microelectronica (2d Ed.). McGrawHill, IT P. Horowitz, W Hill. The Art of Electronics (2d Ed.). Cambridge University Press L.O. Chua, C.A. Desoer, E.S. Kuh, Linear and Nonlinear Circuits. McGrawHill, UK C.A. Desoer, E.S. Kuh. Basic Circuit Theory. McGrawHill, UK ******************************************************************************* ^ : 50901832 Course title: Biophysics Type of course: lecture Level of course: First Degree Course Year of study: 3rd Duration: trimester Period: 1° Trimester  Autumn (OctDec) Number of credits: 5 Name of Lecturer: L. Sportelli Teaching methods: lectures Assessment methods: oral exam Language of instruction: Italian Prerequisites: Introduction to Quantum Physics (50900436) Course contents: Prokaryotic and eukaryotic cells. Structure and properties of biological macromolecules: Nucleic acids, Proteins (amino acids, peptide bond, 310, p, helix and strand secondary structures). Transport proteins. Biomembranes. Liotropic and thermotropic phase behavior of lecithin/water model systems. Chemicalphysics properties of water. Weak interactions in biological systems. Diffusion theory and applications. Introduction to biospectroscopies: UVVIS optical absorption. Electronic transitions of DNA and Protein monomers. Prosthetic groups. Fluorescence of biomolecules. Raman spectroscopy. Electron spin resonance spectroscopy. Applications. ^ : Handouts are given throughout the course Notes: 32 hours lectures + 12 hours exercises ******************************************************************************* Course code: Course title: Biological Materials ^ : lecture plus laboratory Level of course: Advanced Level Course Year of study: 1^{st} Elective Duration: trimester Period: 1° Trimester  Autumn (OctDec) Number of credits: 5 Name of Lecturer: Teaching methods: lectures and laboratory Assessment methods: oral exam Language of instruction: Italian Prerequisites: Biophysics (50901832) Course contents: Supramolecular systems. Properties of surfactants and lipid molecules. Selfassembling lipid molecules. Lyotropic and thermotropic properties. Physical properties of double layers. Sterically stabilised liposomes. Molecular motions in lipid bilayers. Preparation of amphiphilic aggregates. Lateral pressure and packing density in bilayers. Investigation of lipid bilayers by ESR spectroscopy: dynamics and structural analysis. DSC measurements: the twostate model, cooperativity. Function /properties relationship of biological materials. ^ : Handouts are given throughout the course Notes: 24 hours lectures + 12 hours exercises + 12 hours laboratory; This is an Elective Module. ******************************************************************************* ^ : Course title: Magnetic Resonance Spectroscopy Type of course: lecture Level of course: Advanced Level Course Year of study: 1^{st} Elective Duration: trimester Period: 1° Trimester  Autumn (OctDec) Number of credits: 5 Name of Lecturer: Teaching methods: lectures Assessment methods: oral exam Language of instruction: Italian Prerequisites: Biophysics (50901832). Course contents: Species with unpaired electrons. Nuclear spins. Spin Hamiltonian. Magnetic dipole transitions. Block equations. T1 and T2 relaxation times. Shape of resonance lines. Factors affecting resonance lines. NMR spectrometer. Chemical shift. NMR spectra of proteins, nucleic acids and membranes. ESR spectrometer. Zeeman and hyperfine interaction. Free radicals. Spin labels to investigate membranes and proteins. Spectral anisotropy. Rotational correlation time. Order parameter, fluidity and polarity profiles of membranes. Introduction to EPR spectroscopy of biological transition metal ions: The copper ion. ^ : Handouts are given throughout the course Notes: 32 hours lectures + 12 hours exercises; This is an Elective Module. ******************************************************************************* ^ : Course title: Laboratory of Biophysics Type of course: laboratory Level of course: First Degree Course Year of study: 2^{nd} Elective Duration: trimester Period: 1° Trimester  Autumn (OctDec) Number of credits: 5 Name of Lecturer: Teaching methods: lectures and laboratory Assessment methods: oral exam Language of instruction: Italian Prerequisites: Biophysics (50901832) Course contents: Elastic and inelastic light scattering. Experimental setup and applications for the study of biosystems. Optical absorption and quantum mechanics: the twolevel system. Electric transition dipole moment. Einstein coefficients, crosssection, relationship between Einstein coefficients and molar extinction coefficient. Fluorescence lifetime. Singletsinglet energy transfer. Polarization and anisotropy of fluorescence. Rotational dynamics of biomolecules and fluorescence polarization. Translational diffusion of lipid molecules investigated by ESR spectroscopy. EST spectroscopy studies of phase transitions and the molecular dynamics of biomembranes. Laboratory training in optics and ESR. ^ : Handouts are given throughout the course Notes: 16 hours lectures + 6 hours exercises + 36 hours laboratory; This is an Elective Module. ******************************************************************************* ^ : Course title: Structural and Dynamic Properties of Biological Systems Type of course: lecture Level of course: Advanced Level Course Year of study: 1^{st} Elective Duration: trimester Period: 3° Trimester Spring (April  June) Number of credits: 3 Name of Lecturer: Teaching methods: lectures Assessment methods: oral exam Language of instruction: Italian Prerequisites: Biophysics (50901832) Course contents:
^ : Handouts are given throughout the course Notes: 32 hours lectures + 12 hours exercises; This is an Elective course. ******************************************************************************* ^ : 50900389 Course title: General Chemistry Type of course: lecture Level of course: First Degree Course Year of study: 1st Duration: trimester Period: 2° Trimester  Winter (January  March) Number of credits: 6 Name of Lecturer: Teaching methods: lectures Assessment methods: written exam Language of instruction: Italian Objective of course: The aim of the module is to give the general concepts of atoms and molecules, of chemical reactions and of molecular bonds. Prerequisites: Introduction to Experimental Methodology (50900390) Differential Calculus (50900381) ^ : Atoms and molecules; atomic and molecular weights; chemical reactions; chemical kinetics and reaction speed; gas phase and liquid phase reactions; solubility; atomic structure; the Periodic table; molecular bonds; organic and inorganic compounds. ^ : Handouts are given throughout the course ******************************************************************************* Course code: 50901141 Course title: Spectroscopic Techniques Type of course: lectures Level of course: First Degree Course Year of study: 3rd Duration: trimester Period: 2° Trimester  Winter (January  March) Number of credits: 5 Name of Lecturer: C. Umeton Teaching methods: lectures Assessment methods: written and oral exam Language of instruction: Italian Objective of course: The purpose of this course is to give an introduction to some spectroscopic techniques generally used to study the interaction of neutron and light with matter. Prerequisites: Atoms, Molecules and Solids (50900591) Introduction to Quantum Physics (50900436) ^ : Basic concepts on correlation function and the static structure factor; elastic neutron scattering. Sources of neutrons; monochromators and detectors of neutrons. Timedependent correlation function; dynamic structure factor. Inelastic scattering of neutrons; 3axes neutron spectrometer. Molecular dynamics; correlation of velocity and diffusion. Basic concepts of magnetic resonance spectroscopy; EPR and NMR spectrometers. The hydrodynamic limit; propagation in liquids; Brillouin lines; Rayleigh broadening. Elastic and quasielastic light scattering. Basic concepts of laser sources. Laser spectroscopy; laser spectrometers. ^ : Handouts are given throughout the course ******************************************************************************* Course code: 50901139 Course title Techniques of observation and measurements in meteorology ^ : Lecture plus laboratory Level of course: First Degree Course Year of study: 2nd Duration: trimester Period: 1° Trimester  Autumn (OctDec) Number of credits: 5 Name of Lecturer: Vincenzo Formoso Teaching methods: lectures, laboratory Assessment methods: written and orals exams Language of instruction: ItalianEnglish if requested Objective of course: Students are expected to acquire competencies concerning the instrumentation used to investigate structures of the atmosphere which aid forecasters in predicting the weather. An overview on meteorological instruments is also covered. This course is particularly recommended for students majoring in meteorology and who are particularly interested in the application of physics to the understanding of environmental problems. Prerequisites: Thermodynamics (50900388) ^ : One major step towards improving the precision of weather forecasts involves better techniques for observing the atmosphere and better ability to measure its chemicalphysical properties. Therefore, an overview of the major meteorological instruments is provided with special attention given to:  network of surfacebased meteorological observatory stations  Boundary layer Meteorology: Towers, Tethered balloons, Kytoons, Free balloon, Tetroons, Aircrafts  Fundamentals of radar meteorology; Doppler radar  Remote Sensing of the Environment  Meteorological satellite in forecasting weather on Earth: meteosat , NOAA, etc. ^ : Handouts are given throughout the course ******************************************************************************* Course code: Course title: Physics of Materials Type of course: lectures Level of course: Advanced Level Course Year of study: 1^{st} Elective Duration: trimester Period: 2° Trimester  Winter (January  March) Number of credits: 5 Name of Lecturer: G. Chiarello Teaching methods: lectures, studentseminar Assessment methods: written and oral exam Language of instruction: Italian Objective of course: This course covers the subject of ‘materials’ from its foundation in physics to the mechanical, electrical, magnetic and optical properties of conventional as well innovative materials (e.g. ceramics, nanostructures) Prerequisites: Introduction to Quantum Physics (50900436) Quantum mechanics (50900597) ^ : Electrical, optical, magnetic and mechanical properties of conventional materials. Physical properties of ceramic materials; metal oxide, defects and chemical reactivity. Preparation and characterization of materials in ultrahighvacuum conditions; Electronic properties at the interface (metalmetal, metaloxide, metalsemiconductor, oxideoxide). Preparation and characterization of nanostructures. ^ : Handouts are given throughout the course Notes: This is an Elective Course. ******************************************************************************* Course code: Course title: Innovative Materials ^ : lectures Level of course: Advanced Level Course Year of study: 1^{st} Elective Duration: trimester Period: 3° Trimester Spring (April  June) Number of credits: 5 Name of Lecturer: Teaching methods: lecture and studentlead seminars Assessment methods: proposals and oral exam Language of instruction: Italian Objective of course: The aim of this module is to introduce the physical properties of some innovative materials such as carbonbased materials, metallic and semiconducting films; Prerequisites: Quantum Mechanics (50900597) Advanced Quantum Mechanics ^ : Physical properties of conventional materials, composite materials, crystalline and amorphous materials, carbonbased materials; development of innovative materials, preparation of thin and ultrathin films: structural and electronic characterization. ^ : Handouts are given throughout the course Notes: This is an Elective Course. ******************************************************************************* Course code: Course title: Electronic Spectroscopies ^ : lectures and seminar series Level of course: Advanced Level Course Year of study: 1^{st} Elective Duration: trimester Period: 2° Trimester  Winter (January  March) Number of credits: 5 Name of Lecturer: Teaching methods: lectures, professorsled and studentled seminars Assessment methods: oral and seminars Language of instruction: Italian Objective of course: This course introduces the foundations and instrumentation of electronic spectroscopies which are based on electron and photon interactions in matter. Prerequisites: Quantum Mechanics (50900597) Advanced Quantum Mechanics ^ : Excitation and deexcitation of electrons in solids; Electron and photon sources, electron analyzers, interaction of electrons with matter and related spectroscopic techniques (Auger electron spectroscopy, electron energy loss spectroscopy), interaction of photon with matter and related techniques (Ultraviolet and xray photoemission spectroscopies), Gassurface interaction and electronic and vibrational properties ^ :
