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Course
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Credits
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Scientific Disciplinary Sector Code
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Contact Hours
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Exercise Hours
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Laboratory Hours
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Personal Study Hours
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Type of Activity
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Language
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20410016 -
MECCANICA ANALITICA
(objectives)
To acquire a basic knowledge of the theory of conservative mechanical systems and of the elements of analytical mechanics, in particular of Lagrangian and Hamiltonian mechanics
-
Derived from
20410339 FM210 - MECCANICA ANALITICA in Matematica L-35 GENTILE GUIDO, CORSI LIVIA
( syllabus)
Conservative mechanical systems. Qualitative analysis of motion and Lyapunov stability. Planar systems and one-dimensional mechanical systems. Central motions and the two-body problem. Change of frames of reference. Fictitious forces. Constraints. Rigid bodies. Lagrangian mechanics: variational principles, cyclic variables, Routh method, constants of motion and symmetries. Hamiltonian mechanics: Liouville's theorem and Poincaré's recurrence theorem, canonical transformations, generating functions, Hamilton-Jacobi method and action-angle variables.
( reference books)
G. Gentile, Introduzione ai sistemi dinamici. 1. Equazioni differenziali ordinarie, analisi qualitativa e alcune applicazioni
G. Gentile, Introduzione ai sistemi dinamici. 2. Meccanica lagrangiana e hamiltoniana
|
9
|
MAT/07
|
48
|
24
|
-
|
-
|
Related or supplementary learning activities
|
ITA |
|
20410014 -
ESPERIMENTAZIONI DI FISICA II
(objectives)
the student acquires skills in the use of instruments for measuring electrical quantities and in the practical implementation of simple electrical circuits in direct and alternating current conditions; acquires awareness of the consistency of experimental data with the theoretically expected results, achieving mastery in applying the theory of errors to data analysis and in the graphical representation on a linear and logarithmic scale of the experimental results. Do observe and interpret optical effects related to refraction, diffraction and interference of light.
-
MARI STEFANO MARIA
( syllabus)
ELECTRICAL CIRCUITS
Ideal components: Resistor, Capacitor, Inductor. Active components: current generator, voltage generator. Real components: Resistor, Capacitor, Inductor, Generator.
DC Circuits
Kirchhoff’s Laws, the method of nodes, the method of meshes. The Wheatstone's Bridge. Linear networks: Superposition theorem, Thevenin’s theorem, Norton's theorem, Reciprocity theorem.
MEASUREMENTS in DC Circuits
Current and Voltage Difference measurements, digital voltmeter, ohmmeter. Resistance measurements: voltmeter-ammeter method. Uncertainty in electrical measurements
Alternating Current Circuits
Periodic, alternating, sinusoidal signals. AC coupling. Components in AC circuits, solution of AC circuits: the symbolic method.
AC basic Circuits
RC circuits: low-pass, high-pass, RL circuits. Differentiator and integrator circuits. Resonant circuits: the RLC circuit, series and parallel. The compensated voltage divider.
The NI Educational Laboratory Virtual Instrumentation Suite (NI ELVIS)
Amplitude measurements, phase measurements. Measurement uncertainty.
Pulsed Circuits
Impulsive signals: step signal, pulse signal, rectangular waveform. RC circuits: high-pass, low-pass. Compensated voltage divider.
The transmission line
Model of the transmission line, telegrapher equation, lossless line. Reflection and transmission coefficients. The coaxial cable.
Basic statistical methods
Mean, standard deviation, propagation of errors, confidence limits of a measurement.
Chi-squared test. Graphs, fitting procedures. PHYTON basic.
Elementary optics
Basic geometrical optics. Optical interference. Optical diffraction.
( reference books)
Class Notes
R. Bartiromo, M. De Vincenzi - "Electrical Measurements in the laboratory Practice" - Springer
M. Severi - "Introduzione alla Esperimentazione Fisica" - Zanichelli
C.K. Alexander, M.N.O. Sadiku - "Circuiti Elettrici" - McGraw Hill
Young - "Elaborazione statistica dei dati sperimentali"
Taylor - "Introduzione all'analisi degli errori"
Any textbook on Physics, Electronics e Statistics for the degree course on Physic
-
ORESTANO DOMIZIA
( syllabus)
ELECTRICAL CIRCUITS
Ideal components: Resistor, Capacitor, Inductor. Active components: current generator, voltage generator. Real components: Resistor, Capacitor, Inductor, Generator.
DC Circuits
Kirchhoff’s Laws, the method of nodes, the method of meshes. The Wheatstone's Bridge. Linear networks: Superposition theorem, Thevenin’s theorem, Norton's theorem, Reciprocity theorem.
MEASUREMENTS in DC Circuits
Current and Voltage Difference measurements, digital voltmeter, ohmmeter. Resistance measurements: voltmeter-ammeter method. Uncertainty in electrical measurements
Alternating Current Circuits
Periodic, alternating, sinusoidal signals. AC coupling. Components in AC circuits, solution of AC circuits: the symbolic method.
AC basic Circuits
RC circuits: low-pass, high-pass, RL circuits. Differentiator and integrator circuits. Resonant circuits: the RLC circuit, series and parallel. The compensated voltage divider.
The NI Educational Laboratory Virtual Instrumentation Suite (NI ELVIS)
Amplitude measurements, phase measurements. Measurement uncertainty.
Pulsed Circuits
Impulsive signals: step signal, pulse signal, rectangular waveform. RC circuits: high-pass, low-pass. Compensated voltage divider.
The transmission line
Model of the transmission line, telegrapher equation, lossless line. Reflection and transmission coefficients. The coaxial cable.
Basic statistical methods
Mean, standard deviation, propagation of errors, confidence limits of a measurement.
Chi-squared test. Graphs, fitting procedures. PHYTON basic.
Elementary optics
Basic geometrical optics. Optical interference. Optical diffraction.
( reference books)
Class Notes
R. Bartiromo, M. De Vincenzi - "Electrical Measurements in the laboratory Practice" - Springer
M. Severi - "Introduzione alla Esperimentazione Fisica" - Zanichelli
C.K. Alexander, M.N.O. Sadiku - "Circuiti Elettrici" - McGraw Hill
Young - "Elaborazione statistica dei dati sperimentali"
Taylor - "Introduzione all'analisi degli errori"
Any textbook on Physics, Electronics e Statistics for the degree course on Physic
-
RUGGIERI FEDERICO
( syllabus)
ELECTRICAL CIRCUITS
Ideal components: Resistor, Capacitor, Inductor. Active components: current generator, voltage generator. Real components: Resistor, Capacitor, Inductor, Generator.
DC Circuits
Kirchhoff’s Laws, the method of nodes, the method of meshes. The Wheatstone's Bridge. Linear networks: Superposition theorem, Thevenin’s theorem, Norton's theorem, Reciprocity theorem.
MEASUREMENTS in DC Circuits
Current and Voltage Difference measurements, digital voltmeter, ohmmeter. Resistance measurements: voltmeter-ammeter method. Uncertainty in electrical measurements
Alternating Current Circuits
Periodic, alternating, sinusoidal signals. AC coupling. Components in AC circuits, solution of AC circuits: the symbolic method.
AC basic Circuits
RC circuits: low-pass, high-pass, RL circuits. Differentiator and integrator circuits. Resonant circuits: the RLC circuit, series and parallel. The compensated voltage divider.
The NI Educational Laboratory Virtual Instrumentation Suite (NI ELVIS)
Amplitude measurements, phase measurements. Measurement uncertainty.
Pulsed Circuits
Impulsive signals: step signal, pulse signal, rectangular waveform. RC circuits: high-pass, low-pass. Compensated voltage divider.
The transmission line
Model of the transmission line, telegrapher equation, lossless line. Reflection and transmission coefficients. The coaxial cable.
Basic statistical methods
Mean, standard deviation, propagation of errors, confidence limits of a measurement.
Chi-squared test. Graphs, fitting procedures. PHYTON basic.
Elementary optics
Basic geometrical optics. Optical interference. Optical diffraction.
( reference books)
Class notes
R. Bartiromo, M. De Vincenzi - "Electrical Measurements in the laboratory Practice" - Springer
M. Severi - "Introduzione alla Esperimentazione Fisica" - Zanichelli
C.K. Alexander, M.N.O. Sadiku - "Circuiti Elettrici" - McGraw Hill
Young - "Elaborazione statistica dei dati sperimentali"
Taylor - "Introduzione all'analisi degli errori"
Qualunque testo di Fisica, Elettronica e Statistica usato per altri insegnamenti del CCL di Fisica.
-
RUGGIERI FEDERICO
( syllabus)
ELECTRICAL CIRCUITS
Ideal components: Resistor, Capacitor, Inductor. Active components: current generator, voltage generator. Real components: Resistor, Capacitor, Inductor, Generator.
DC Circuits
Kirchhoff’s Laws, the method of nodes, the method of meshes. The Wheatstone's Bridge. Linear networks: Superposition theorem, Thevenin’s theorem, Norton's theorem, Reciprocity theorem.
MEASUREMENTS in DC Circuits
Current and Voltage Difference measurements, digital voltmeter, ohmmeter. Resistance measurements: voltmeter-ammeter method. Uncertainty in electrical measurements
Alternating Current Circuits
Periodic, alternating, sinusoidal signals. AC coupling. Components in AC circuits, solution of AC circuits: the symbolic method.
AC basic Circuits
RC circuits: low-pass, high-pass, RL circuits. Differentiator and integrator circuits. Resonant circuits: the RLC circuit, series and parallel. The compensated voltage divider.
The NI Educational Laboratory Virtual Instrumentation Suite (NI ELVIS)
Amplitude measurements, phase measurements. Measurement uncertainty.
Pulsed Circuits
Impulsive signals: step signal, pulse signal, rectangular waveform. RC circuits: high-pass, low-pass. Compensated voltage divider.
The transmission line
Model of the transmission line, telegrapher equation, lossless line. Reflection and transmission coefficients. The coaxial cable.
Basic statistical methods
Mean, standard deviation, propagation of errors, confidence limits of a measurement.
Chi-squared test. Graphs, fitting procedures. PHYTON basic.
Elementary optics
Basic geometrical optics. Optical interference. Optical diffraction.
( reference books)
Class notes
R. Bartiromo, M. De Vincenzi - "Electrical Measurements in the laboratory Practice" - Springer
M. Severi - "Introduzione alla Esperimentazione Fisica" - Zanichelli
C.K. Alexander, M.N.O. Sadiku - "Circuiti Elettrici" - McGraw Hill
Young - "Elaborazione statistica dei dati sperimentali"
Taylor - "Introduzione all'analisi degli errori"
Qualunque testo di Fisica, Elettronica e Statistica usato per altri insegnamenti del CCL di Fisica.
|
9
|
FIS/01
|
36
|
-
|
54
|
-
|
Core compulsory activities
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ITA |
|
20410012 -
MATHEMATICAL ANALYSIS II
(objectives)
Acquire the fundamental concepts of differentiation and integration for multi-variable functions
-
Derived from
20410586 AM220-ANALISI MATEMATICA 4 in Matematica L-35 BIASCO LUCA, BESSI UGO
( syllabus)
1. Functions of n real variables
Vector spaces. Scalar product (Cauchy-Schwarz inequality), norm, distance,
standard topology, compactness in Rn.
Continuous functions from Rn to Rm. Continuity and uniform continuity. Weierstrass theorem.
Definitions of partial and directional derivatives, differentiable functions,
gradient, Prop .: a continuous differentiable function and has all the directional derivatives.
Schwarz's Lemma total differential theorem. Functions
Ck, chain rule. Hessian matrix.
Taylor's formula at second order. Maximum and minimum stationary points
Positive definite matrices.
Prop: maximum or minimum points are critical points; the critical points in which the
Hessian matrix is positive (negative) are minimum (maximum) points; the points
critics in which the Hessian matrix has a positive and a negative eigenvalue are saddles.
Functions that can be differentiated from Rn to Rm; Jacobian matrix. Jacobian matrix of the
composition.
2. Normed spaces and Banach spaces
Examples. Converging and Cauchy sequences. Equivalent rules. Equivalence of the norms in Rn. The space of the
continuous functions with the sup norm a Banach space.
The fixed point theorem in Banach spaces.
3. Implicit functions
The theorem of implicit and Inverse functions.
Constrained maxima and minima, Lagrange multipliers.
4. Ordinary differential equations
Examples: equations with separable variables, linear systems with constant coefficients
(solution with matrix exponential).
Existence and uniqueness theorem.
Linear systems, structure of solutions, wronskian, variation of constants.
5. Riemann integral in Rn Review of the Riemann integral in one dimension. Rectangles
in R2, compact support functions, simple functions and their integral, function definition integrable according to Riemann in R2 (hence Rn).
Definition of measurable set, a set is measurable if and only if its boundary has zero measurement. Normal sets with respect to the Cartesian axes. A continuous function on a measurable and integrable set. Fubini reduction theorem.
Formula of change of variable in integrals (without size). Polar, cylindrical, spherical coordinates. Examples: calculation of some barycenters and moments of inertia.
6. Regular curves.
Regular curves in R ^ n. Tangent versor.
Two equivalent curves traveled in the same direction have the same tangent versor.
Length of a curve. It is greater than the displacement.
Two equivalent curves have the same length.
Curvilinear integrals.
7. Surfaces, flows and divergence theorem.
Recalls on the vector product. Definition of regular surface. Tangent plane and normal versor. Area of a surface. Examples: graphs of functions and rotation surfaces. Surface integrals. Flow of a vector field through a surface. Examples. Statement of the divergence theorem. Demonstration of the divergence theorem (for normal domains with respect to the three Cartesian axes.
8. Differential forms and work.
1-Differential forms. Integral of a 1-differential form (work of a vector field), closed and exact forms. A form is exact if and only if the integral on any zero closed curve. Example of incorrect form closed.
Derived under the sign of integral. Starry sets; a closed form on a starred domain is exact.
Irrational and conservative fields, solenoidal and potential vector (on starry sets). The Green theorem in the plane. The Rotor theorem.
9. Series and sequence of functions
Series and sequence of functions: point, uniform and total convergence. Continuity of the limit, integration and derivation of uniformly convergent sequences of functions. Power series: convergence radius. Taylor series examples of elementary functions.
10. Fourier series
Fourier series, Fourier coefficients. Properties of Fourier coefficients, Bessel inequality, Lemem of Riemann Lebesgue. Pointwise convergence of the Fourier series (Dini test). Uniform convergence in the case of C1 functions. Equality of Parseval.
( reference books)
Analisi Matematica II, Giusti
Analisi Matematica II, Chierchia
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15
|
MAT/05
|
92
|
40
|
-
|
-
|
Basic compulsory activities
|
ITA |
Optional group:
GRUPPO DI SCELTA II° ANNO - (show)
 |
6
|
|
|
|
|
|
|
|
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20401876 -
DATA MANAGEMENT LABORATORY
(objectives)
To provide the student with the basic tools for the design, implementation and management of complex calculation systems for the processing of large amounts of data.
-
BUDANO Antonio
( syllabus)
Computer Architecture:
- Logical and physical organization:
o CPU architectures compared to CISC and RISC
o RISC architecture in detail (parallelism, pipeline, superscalar architecture, registers, operations, buffers and internal cache)
o system bus and bus for peripherals, main memory, disks
- Operating systems:
o kernel types, processes and structure of executables, loading of executables into main memory, virtual and physical addresses, paging, swap
o scheduling algorithms, process priorities, input / output devices and their drivers, interrupt management, communications between processes, signals, timing management
o file system
- Virtual systems and container:
o Virtual machine architecture
o Container architecture
Communication networks:
- Network architectures:
o topologies of local and geographic networks
o routing and communication protocols
o standard TCP / IP, layered structure, organization of packet headers, transport layers, network and data link in TCP / IP, applications and their protocols
o Notes on the architecture of Fiber-Channel and InfiniBand network
Storage systems:
- physical structuring
- RAID systems
Data intensive processing systems:
- intensive computation, algorithm parallelism, computer farm and job scheduling systems
- new frontiers of scientific computing and GRID.
- Cloud systems
Laboratory activities:
- Linux operating system
- Shared file systems
- MPI libraries for running parallel programs
- Scheduling systems
- Testing services based on docker container
( reference books)
Texts adopted:
- J. F. Kurose, K. W. Ross , Reti di calcolatori e internet. Un approccio top-down
- A. S. Tanenbaum, H. Bos, B. Crispo, C. Palazzi, I moderni sistemi operativi
- A. S. Tanenbaum, T.Austin, Architettura dei calcolatori. Un approccio strutturale
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6
|
FIS/04
|
48
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20410084 -
COMPLEMENTS OF ANALYTICAL MECHANICS - MOD A
(objectives)
To deepen the study of dynamical systems both with more advanced methods, in the context of Lagrangian and Hamiltonian theory and providing applications also in other fields
-
GENTILE GUIDO
( syllabus)
Linear dynamic systems. Forced harmonic oscillation in the presence or absence of dissipation. Limit sets and limit cycles. Planar systems. Gradient systems. Stability theorems. Lotka-Volterra equations. Van der pol equation. Epidemiologic models (epidemic SIR, endemic SIR and endemic SEIR).
( reference books)
G. Gentile, Introduzione ai sistemi dinamici. 1. Equazioni differenziali ordinarie, analisi qualitativa e alcune applicazioni
G. Gentile, Introduzione ai sistemi dinamici. 2. Meccanica lagrangiana e hamiltoniana
|
3
|
MAT/07
|
30
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20410085 -
COMPLEMENTI DI MECCANICA ANALITICA - MOD. B
(objectives)
To deepen the study of dynamical systems both with more advanced methods, in the context of Lagrangian and Hamiltonian theory and providing applications also in other fields
-
GENTILE GUIDO
( syllabus)
Euler's angles. Euler's equation for the dynamics of the rigid body. Spinning top of Lagrange. Flow box theorem. Noether's theorem inm the case of more groups of symmetries. Theory of small oscillations.Perturbation theory. Homological equation. Isochronous and anisochronous systems. Birkhoff series. All-order perturbation theory for isochronous systems and Nekhoroshev's theorem.
( reference books)
G. Gentile, Introduzione ai sistemi dinamici. 1. Equazioni differenziali ordinarie, analisi qualitativa e alcune applicazioni
G. Gentile, Introduzione ai sistemi dinamici. 2. Meccanica lagrangiana e hamiltoniana
|
3
|
MAT/07
|
30
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20410018 -
PRINCIPI DI ASTROFISICA-MODULO A
(objectives)
Provide the student with a first view of some of the fundamental topics of Astrophysics and Cosmology using the mathematical and physical knowledge acquired in the first two years
-
Derived from
20410499 Principi di Astrofisica in Fisica L-30 LA FRANCA FABIO, MATT GIORGIO
( syllabus)
Arguments
• Coordinates and Telescopes
• Elements of Spectroscopy
• Stars and Stellar Evolution • Galaxies
• Active Galactic Nuclei
Program A
• Overview
• Celestial coordinates (1.3)
• Telescopes and resolving power (6.1)
• Parallax distance (3.1)
• Flux, brightness, apparent and absolute magnitudes, colors (3.2, 3.3, 3.6)
• The black body (3.4, 3.5)
• Hertzsprung-Russel diagram (8.2)
• Open and globular clusters: position, stellar populations and HR diagram (13.3)
• White dwarfs, Novae and SuperNovae (notes and partly in 15 and 16)
• The classification of galaxies (24.1)
• The rotation curve of galaxies and dark matter (25.3)
• The center of the Galaxy and its Black Hole (25.4)
• Hubble's law and expansion of the Universe (27.2)
• Probability of collision between stars and galaxies (handouts)
• Black Holes: outline of General Relativity (outline 17)
• Active Galactic Nuclei (28.1, 28.2, 28.3)
( reference books)
A copy of the lecture notes can be downloaded from the course website.
In brackets, the paragraphs from “An Introduction to Modern Astrophysics, II ed. - B.W. Carrol, D.A. Ostlie - Ed. Pearson, Addison Wesley ”(copies available in the library). The discussion in the course is
has been simplified compared to what is reported in the text. Alternative text in Italian: Attilio Ferrari, Stars, Galaxies, Universe - Fundamentals of Astrophysics - Ed. Springer
|
3
|
FIS/05
|
30
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20410021 -
ELEMENTI DI FISICA DEGLI ACCELERATORI
(objectives)
Acquire a basic knowledge of the principles of particle accelerators and their main applications
-
DI NARDO ROBERTO
( syllabus)
Elementary particles and fundamental interactions. The tools to study them.
Recent discoveries and open problems in the physics of elementary particles and astroparticles: the Higgs boson and its properties, the unification of forces, waves gravitational, the search for dark matter, the properties of neutrinos, matter-antimatter asymmetry in the universe
( reference books)
handouts provided by the teacher
-
DI NARDO ROBERTO
( syllabus)
Elementary particles and fundamental interactions. The tools to study them.
Recent discoveries and open problems in the physics of elementary particles and astroparticles: the Higgs boson and its properties, the unification of forces, waves gravitational, the search for dark matter, the properties of neutrinos, matter-antimatter asymmetry in the universe
( reference books)
handouts provided by the teacher
|
3
|
FIS/04
|
24
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20410023 -
ELEMENTS OF CONTEMPORARY THEORETICAL PHYSICS
(objectives)
Introduce at an elementary level about the concepts and principles of research in contemporary theoretical physics
-
LUBICZ VITTORIO
( syllabus)
1) Theory of Relativity: Special Relativity. Space-time. Four-vectors: relativistic velocity, momentum and energy. General relativity.
2) Quantum mechanics: Crisis of classical physics. The principles of quantum mechanics. Schrödinger equation and quantum systems. New phenomena, developments and interpretations.
3) Field theory and Standard Model of elementary particles: Introduction and fundamentals. Properties of interactions and particles. The Standard Model.
4) Particle physics beyond the Standard Model: Limits of the Standard Model. New Physics Models.
5) Quantum gravity.
( reference books)
Lecture notes available on the course website
-
TARANTINO CECILIA
( syllabus)
1) Theory of Relativity: Special Relativity. Space-time. Four-vectors: relativistic velocity, momentum and energy. General relativity.
2) Quantum mechanics: Crisis of classical physics. The principles of quantum mechanics. Schrödinger equation and quantum systems. New phenomena, developments and interpretations.
3) Field theory and Standard Model of elementary particles: Introduction and fundamentals. Properties of interactions and particles. The Standard Model.
4) Particle physics beyond the Standard Model: Limits of the Standard Model. New Physics Models.
5) Quantum gravity.
( reference books)
Lecture notes available on the course website
|
3
|
FIS/02
|
24
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20410025 -
PRINCIPI DI FISICA TERRESTRE E DELL'AMBIENTE
(objectives)
Acquire skills related to the basic physical principles of the study of the planet earth and the interactive dynamics between geosphere, hydrosphere,atmosphere and cryosphere and of the Physics of the Environment.
-
PETTINELLI ELENA
( syllabus)
The Earth as a Planet
Earth Gravity, Inertia and density
Seismic waves and Earth inner structure
Geophysical methods for the analysis of volcanoes structure
Introduction to physics of climate
Ionosphere and space weather
Lithospheric plates cinematic
Exploration geophysics
Planetary geophysics
Environmental radioactivity
|
| 1,5
|
FIS/06
|
12
|
-
|
-
|
-
|
Elective activities
|
| 1,5
|
FIS/07
|
12
|
-
|
-
|
-
|
Elective activities
|
|
ITA |
|
20410498 -
principles of condensed matter
(objectives)
Provide the student with an introduction to some of the topics important for research in condensed matter physics
-
GALLO PAOLA
( syllabus)
The complete course consists of two parts held by two teachers.
Program of the first part (20 hours):
Introduction to statistical mechanics
Introduction to the physics of liquids and soft matter.
Thermodynamic quantities, structural quantities and dynamic quantities for the study of liquids and soft matter, including biomatter.
Introduction to the physics of glasses and disordered systems.
Introduction to the physics of solids.
( reference books)
First part: Notes provided by the teacher
-
DE SETA MONICA
( syllabus)
The complete course consists of two parts held by two teachers.
Program of the second part (10 hours): Introduction to the physics of matter at the nanoscale
Wave particle dualism and quantization of electronic states; Electronic and photon transitions; "Band Engineering" in semiconductor heterostructures; fundamental principles for the use of quantum structures for electronics and photonics. Nanofabrication and visualization of nanostructured materials; Operating phenomena of some devices
( reference books)
notes provided by the teacher
|
3
|
FIS/03
|
30
|
-
|
-
|
-
|
Elective activities
|
ITA |
|
20410499 -
Principles of astrophysics
(objectives)
Provide the student with a first view of some of the fundamental topics of Astrophysics and Cosmology using the mathematical and physical knowledge
acquired in the first two years
-
LA FRANCA FABIO
( syllabus)
Topics Part A
• Coordinates and Telescopes
• Elements of Spectroscopy
• Stars and Stellar Evolution • Galaxies
• Active Galactic Nuclei
Program Part A
• Overview
• Celestial coordinates (1.3)
• Telescopes and resolving power (6.1)
• Parallax distance (3.1)
• Flux, brightness, apparent and absolute magnitudes, colors (3.2, 3.3, 3.6)
• The black body (3.4, 3.5)
• Hertzsprung-Russel diagram (8.2)
• Open and globular clusters: position, stellar populations and HR diagram (13.3)
• White dwarfs, Novae and SuperNovae (notes and partly in 15 and 16)
• The classification of galaxies (24.1)
• The rotation curve of galaxies and dark matter (25.3)
• The center of the Galaxy and its Black Hole (25.4)
• Hubble's law and expansion of the Universe (27.2)
• Probability of collision between stars and galaxies (handouts)
• Black Holes: outline of General Relativity (outline 17)
• Active Galactic Nuclei (28.1, 28.2, 28.3)
Topics Part B
• Structure and stellar evolution
• Elements of Spectroscopy
• Distances and expansion of the Universe • Galaxies
• GRB and gravitational waves
Program Part B
• Acretion disks and X-ray emission in Active Galactic Nuclei (28.2)
• Stars of Neutrons and Pulsars (16.6, 16.7)
• Gamma Ray Bursts (handouts)
• Gravitational Waves (lecture notes)
• Spectroscopy: eq. Boltzmann-excitation and Saha-ionization (8.1)
• Spectroscopy: speed, temperature and density measurements (handouts)
• Eq. of star structure, time and Kelvin-Helmholtz instability (11.1-4)
• Nuclear reactions of hydrogen (11.3)
• Jeans mass of gravitational collapse, free-fall time and Initial Mass Function (12.2, 12.3)
• The Milky Way and the local group (25.1, 25.2)
• Metallicity (25.2)
• Transit of Venus and measurement of the Earth-Sun distance (handouts)
• Distance scale (27.1)
• Hubble's law and expansion of the Universe (27.2)
• Local Group, Clusters of Galaxies, large scale structure of the Universe (27.3)
• The Big Bang and the background radiation (29.2 brief notes and lecture notes)
( reference books)
A copy of the lecture notes can be downloaded from the course website.
In brackets, the paragraphs from “An Introduction to Modern Astrophysics, II ed. - B.W. Carrol, D.A. Ostlie - Ed. Pearson, Addison Wesley ”(copies available in the library). The discussion in the course has been simplified compared to what is reported in the text. Alternative text in Italian: Attilio Ferrari, Stars, Galaxies, Universe - Fundamentals of Astrophysics - Ed. Springer
-
MATT GIORGIO
( syllabus)
Topics Part A
• Coordinates and Telescopes
• Elements of Spectroscopy
• Stars and Stellar Evolution • Galaxies
• Active Galactic Nuclei
Program Part A
• Overview
• Celestial coordinates (1.3)
• Telescopes and resolving power (6.1)
• Parallax distance (3.1)
• Flux, brightness, apparent and absolute magnitudes, colors (3.2, 3.3, 3.6)
• The black body (3.4, 3.5)
• Hertzsprung-Russel diagram (8.2)
• Open and globular clusters: position, stellar populations and HR diagram (13.3)
• The rotation curve of galaxies and dark matter (24.3)
• The center of the Galaxy and its Black Hole (24.4)
• The classification of galaxies (25.1)
• Hubble's law and expansion of the Universe (27.2)
• Probability of collision between stars and galaxies (handouts)
• Black Holes: outline of General Relativity (outline 17)
• Active Galactic Nuclei (28.1, 28.2, 28.3)
• White dwarfs, Novae and SuperNovae (notes 15, 16)
Topics Part B
• Structure and stellar evolution
• Elements of Spectroscopy
• Distances and expansion of the Universe • Galaxies
• GRB and gravitational waves
Program Part B
• Stars of Neutrons and Pulsars (16.6, 16.7)
• Gamma Ray Bursts (handouts)
• Gravitational Waves (lecture notes)
• Spectroscopy: eq. Boltzmann-excitation and Saha-ionization (8.1)
• Spectroscopy: speed, temperature and density measurements (handouts)
• Eq. of star structure, time and Kelvin-Helmholtz instability (10.1-4)
• Nuclear reactions of hydrogen (10.3)
• Jeans mass of gravitational collapse, free-fall time and Initial Mass Function (12.2, 12.3)
• The Milky Way and the local group (24.1, 24.2)
• Metallicity (24.2)
• Transit of Venus and measurement of the Earth-Sun distance (handouts)
• Distance scale (27.1)
• Hubble's law and expansion of the Universe (27.2)
• The Big Bang and the background radiation (29.2 brief notes and lecture notes)
( reference books)
A copy of the lecture notes can be downloaded from the course website.
In brackets, the paragraphs from “An Introduction to Modern Astrophysics, II ed. - B.W. Carrol, D.A. Ostlie - Ed. Pearson, Addison Wesley ”(copies available in the library). The discussion in the course has been simplified compared to what is reported in the text. Alternative text in Italian: Attilio Ferrari, Stars, Galaxies, Universe - Fundamentals of Astrophysics - Ed. Springer
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6
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FIS/05
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60
|
-
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-
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-
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Elective activities
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ITA |
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20410589 -
The United Nations 2030 Agenda for sustainable development
(objectives)
• Introduction to the United Nations 2030 Agenda for sustainable development in its unity and overall structure
• Analysis of the 17 SDGs (Sustainable Development Goals) • Critical discussion of the establishment of the Agenda and the links between its various objectives, both in terms of synergies and possible conflicts
• Insights on some Agenda objectives, in connection with the specific interests and / or study plans of the individual students The main objective of the course is to make the student aware of the document of the Agenda 2030, illustrating its birth, the main SDGs (Sustainable Development Goals) and the connections between them.
The student will also learn what are the strategies that can be implemented and the physical-mathematical models that can be used for the achievement of the SDGs within sustainable development
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LAURO SEBASTIAN EMANUEL
( syllabus)
Introduction to the United Nations 2030 Agenda for Development sustainable. Analysis of the 17 SDGs (Sustainable Development Goals). Analysis and discussion of the United Nations 2030 Agenda for sustainable development in its general articulation e critical insights into the main objectives envisaged by it, in connection with the applications in mathematical and physical sciences.
( reference books)
Texts adopted and reference bibliography:
- Text of the 2030 Agenda
- Didactic e-learning module prepared by ASviS and related handouts
- Readings recommended by the speakers of the seminar cycle and by the teacher
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3
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FIS/06
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30
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-
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-
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-
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Elective activities
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ITA |
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Università Roma Tre