Study plan | Catalogo dei Corsi di studio

Study plan

Fisica

First year

Orientamento unico
Course		Semester	CFU	SSD	Language
1015375 - GEOMETRY	Basics in linear algebra and geometry. Linear systems and their geometrical interpretation for 2 or 3 unknowns. Familiarity with rigorous reasoning, with numerical and symbolic calculus, with the analysis of problems using an optimal strategy. Familiarity with vectors and matrices, and with geometrical entities in 2 or 3 dimensions in connection with equations of degree 1 or 2. Understanding of linear applications and, in particular, of diagonalisation.Risultati di apprendimento attesi (Inglese): I expect constant learning as the course goes on; learning will be increased by tutorials and tests. Little difficulties can be solved also by an email contact. Although the beginning may be difficult, mostly due to faults in the mathematical background, after the first impact - in several cases after the first or second written examination - one expects a net improvement.	First semester	9	MAT/03
1018864 - ANALYSIS	The aim of the course is to develop in the students conceptual understanding, computational skills, critical competence and ability to apply mathematical tools to the natural phenomena they will encounter in the other courses.The student learns to deal with the appropriate tools, the study of functions and their qualitative properties, the calculus of maxima and minima, the calculus of areas, the primitive function, the solutions of differential equations and the approximation of functions with polynomials.He also acquires a critical feeling which is useful to manage no-standard problems.	First semester	9	MAT/05
1035105 - LABORATORY OF COMPUTING	The course will provide the basic knowledge to understand numerical computational methods tipically employed in physics and to write simple computer programs. Learning the specific language (C) and operating system (Linux) is exclusivelyu aimed at developing the student’s ability in terms of analysis and description of algorithms needed to solve physics problems.	First semester	6	FIS/01
AAF1137 - COMPUTER SKILLS	The goal is to give students the practical ability to use a modern personal computer and perform the basic operations of use (on, off, data and program management), on proprietary OS or open source.	First semester	3
1018843 - MECHANICS	The goal of this course is to teach the fundamental laws of mechanics, and to develop the problem-solving ability of the student, with applications of vector and differential calculus.	Second semester	12	FIS/01
1022782 - CHEMISTRY	The chemistry course provide a basic overview of the chemistry, structure and reactivity of chemical compounds. All topics are addressed in a simple way. Objective of this course is to encourage students to think and solve chemical problems. At the end of the course students will know different types of reactions, stoichiometric balancing, chemical bond and molecular structures, interactions between molecules and the different states of matter, the laws of chemical equilibria and chemical kinetics, will have the ability to correlate the microscopic structure, atomic and molecular to the physical and chemical properties of matter. Students will be able to solve chemical problems and calculations.	Second semester	6	CHIM/03
1012088 - LABORATORY OF MECHANICS	The course is aimed to give the basic background in the experimental methods and in the elementary techniques of data analysis. In order to reach these goals, the course is based on lectures and laboratory work. At the end of the course, students should have reached the following competences :to know the procedure to perform measurements of physical quantities and to assess the correct uncertainty;to be able to carried out simple experiments and to present the results in a scientific style;to be able to use very simple computer programs in order to analyze experimental data or to write simple programs for data analysis;to know the concept of probability and the basis of statistics, including the main probability distribution functions and the simplest hypothesis tests.	Second semester	12	FIS/01

Second year

Orientamento unico
Course		Semester	CFU	SSD	Language
1018970 - VECTORIAL ANALYSIS	Providing essential tools for successive approach to functional analysis, functions of one complex variable, measure theory, quantum mechanics.	First semester	9	MAT/05
1018971 - THERMODYNAMICS AND LABORATORY	The students are expected to gain knowledge of laws of thermodynamics and understand how these fundamental laws are applied to ideal (ideal gases) and real (real gas) thermodynamic systems. As a part of the laboratory exercise, students will be experimenting on the applicability of the thermodynamics laws and acquiring practical knowledge on methods to measure thermodynamic quantities (temperature, heat, pressure etc.). Students will also gain knowledge of transport phenomena, with practical exercises with vacuum systems and instrumentation.	First semester	9	FIS/01
1012112 - RELATIVISTIC QUANTUM MECHANICS	The course provides an introduction to the Lagrangian and Hamiltonian Mechanics, both at theoretical level and as tools for the solution of problems of classical mechanics. Concerning the Special Relativity, we adopt an historical approach with emphasis on the physical issues.	First semester	6	FIS/02
1012086 - LABORATORY OF COMPUTATIONAL PHYSICS I	The course will give to the student the basic notions needed tounderstand and to implement numerical methods useful in physics, and to write simple, stand alone codes. Learning the C language is functional to developing the student ability to analyze and describe algorithms.	First semester	6	INF/01
1018972 - ELETTROMAGNETISM	learning the subjects of Electricity, Magnetism and Electrodynamics in the realm of classical mechanics. acquiring of the ability to solve problems in electrodynamics.	Second semester	12	FIS/01
1022852 - LABORATORY OF ELECTROMAGNETISM AND CIRCUITS	Basic knowledge of electrical circuit theory and the most common circuit elements. Ability to build simple electrical circuits in the laboratory and to use the basic instrumentation for electrical measurements (multimeter and oscilloscope).	Second semester	6	FIS/01
1036314 - MATHEMATICAL MODELS AND METHODS OF PHYSICS	Provide the students with fundamentals concepts in complex and functional analysis as detailed in the program and stimulate the student's ability to find out how they apply to physics.	Second semester	12
MODULO II		Second semester	6	FIS/02
MODULO I		Second semester	6	FIS/02

Third year

Orientamento unico
Course		Semester	CFU	SSD	Language
1018852 - QUANTUM MECHANICS	Aim of the course is to introduce the basic notions of non-relativistic quantum mechanics and its interpretation. At the end of the course the students should: 1) have understood the definition of physical state and the superposition principle in quantum mechanics, the definition of physical observable, and the meaning of possible outcomes and average value of the measure of an observable; 2) know the physical consequences of the (in-)compatibility between (non-)commuting observables; 3) be acquainted with Dirac's formalism and Schroedinger's formulation; be able to translate the quantities of interest from one to the other formalism; 4) be able to determine the time evolution of a physical state from the Schroedinger equation and have understood the definition of stationary state; 5) be able to solve elementary quantum-mechanical problems in one dimension; 6) have understood the concepts of infinitesimal transformation, symmetry and invariance and their consequences for space- and time-translations, parity and time-reversal; 7) have understood the definition of angular momentum in quantum mechanics and the different representations of angular momenta and their eigenstates in dimensions two and three; 8) have learned the notion of spin and the difference between orbital angular momentum and spin; 9) be able to combine angular momenta; 10) be able to solve elementary problems in three-dimensions; 11) have understood the concept of identical and indistinguishable particles in quantum mechanics; be able to determine the states of a system of indistinguishable particles both for bosons and fermions; 12) be able to compute the shift of energy levels and the eigenstates of the Hamiltonian to first and second order in time-independent perturbation theory; 13) be able to compute, under a time-dependent perturbation, the time evolution of the wavefunction to first order and the transition probability per unit time (transition rate); 14) have understood the adiabatic theorem and its consequences.	First semester	9	FIS/02
1018853 - STATISTICAL MECHANICS	Knowledge and understanding: Successful students will be able to deal with topics concerning the applications of statistical mechanics at equilibrium and off equilibrium, and will become proficient and acquainted with subjects such as variational principles, probabilistic evolution laws, phase transitions, treatment of complex systems. Skills and attributes: Successful students will be able to confront with the analysis of the structure of complex systems through statistical-mechanics techniques, with the purpose of applications in the case of physical systems, social and economic systems, and problems in biology and medicine.	First semester	6	FIS/02
1018975 - LABORATORY OF SIGNALS AND SYSTEMS	The objectives of this course are to provide all students with sufficient knowledge of electronics, from a theoretical point of view, and, mostly, from a practical point of view. The students will acquire the ability of designing, building and operating simple circuits; the knowledge and terminology needed for further progress in the field of electronics, either in their working life or as part of subsequent studies (Degree), and for effective interactions with experts to solve more complex problems. It's therefore necessary to provide students with theoretical knowledge, hands-on laboratory experience and technical (and terminologic) notions on the most important and common electronic devices.	First semester	9	FIS/01
- A SCELTA DELLO STUDENTE		First semester	6
1018976 - OPTICS AND LABORATORY	At the end of the course the students will know the main aspects of physical optics, in particular interference, diffraction and those phenomena related to the polarization of light. Besides the acquisition of the theoretical aspects, laboratory experiments on these phenomena, based on the use of advanced instrumentation are also planned.	Second semester	9	FIS/01
1012093 - STRUCTURE OF MATTER	To learn how to apply the principles of quantum mechanics to describe the behaviour of atoms and molecules, as a bridge for the comprehension of the collective behaviour of matter.	Second semester	6	FIS/03
1012075 - NUCLEAR AND SUBNUCLEAR PHYSICS I	The student will get acquainted with the foundation of Nuclear and Particle Physics going through the main discoveries which brought us to the present understanding of the elementary particles and their interactions. This will be strictly correlated with quantum mechanics developments and particle detectors and accelerators techniques. At the end of the course, the student will be able to use the relativistic kinematic to analyse nuclear and particle reactions and decays, to figure out cross sections and to carry out selection rules from the conservations of quantum numbers.	Second semester	6	FIS/04
- A SCELTA DELLO STUDENTE		Second semester	6
AAF1101 - English language	To provide students with the basic linguistic skills needed to deal with written scientific communication.	Second semester	3
AAF1001 - FINAL EXAM	The final exam consists of the presentation of a report on the activities conducted during the stage/thesis. The preparation for this exam implies skills related to the presentation of her/his work, and the capability to discuss and argue with an audience fully aware of the topics presented.	Second semester	3

Astrofisica

First year

Orientamento unico
Course		Semester	CFU	SSD	Language
1015375 - GEOMETRY	Basics in linear algebra and geometry. Linear systems and their geometrical interpretation for 2 or 3 unknowns. Familiarity with rigorous reasoning, with numerical and symbolic calculus, with the analysis of problems using an optimal strategy. Familiarity with vectors and matrices, and with geometrical entities in 2 or 3 dimensions in connection with equations of degree 1 or 2. Understanding of linear applications and, in particular, of diagonalisation.Risultati di apprendimento attesi (Inglese): I expect constant learning as the course goes on; learning will be increased by tutorials and tests. Little difficulties can be solved also by an email contact. Although the beginning may be difficult, mostly due to faults in the mathematical background, after the first impact - in several cases after the first or second written examination - one expects a net improvement.	First semester	9	MAT/03
1018864 - ANALYSIS	The aim of the course is to develop in the students conceptual understanding, computational skills, critical competence and ability to apply mathematical tools to the natural phenomena they will encounter in the other courses.The student learns to deal with the appropriate tools, the study of functions and their qualitative properties, the calculus of maxima and minima, the calculus of areas, the primitive function, the solutions of differential equations and the approximation of functions with polynomials.He also acquires a critical feeling which is useful to manage no-standard problems.	First semester	9	MAT/05
1035105 - LABORATORY OF COMPUTING	The course will provide the basic knowledge to understand numerical computational methods tipically employed in physics and to write simple computer programs. Learning the specific language (C) and operating system (Linux) is exclusivelyu aimed at developing the student’s ability in terms of analysis and description of algorithms needed to solve physics problems.	First semester	6	FIS/01
AAF1137 - COMPUTER SKILLS	The goal is to give students the practical ability to use a modern personal computer and perform the basic operations of use (on, off, data and program management), on proprietary OS or open source.	First semester	3
1018843 - MECHANICS	The goal of this course is to teach the fundamental laws of mechanics, and to develop the problem-solving ability of the student, with applications of vector and differential calculus.	Second semester	12	FIS/01
1022782 - CHEMISTRY	The chemistry course provide a basic overview of the chemistry, structure and reactivity of chemical compounds. All topics are addressed in a simple way. Objective of this course is to encourage students to think and solve chemical problems. At the end of the course students will know different types of reactions, stoichiometric balancing, chemical bond and molecular structures, interactions between molecules and the different states of matter, the laws of chemical equilibria and chemical kinetics, will have the ability to correlate the microscopic structure, atomic and molecular to the physical and chemical properties of matter. Students will be able to solve chemical problems and calculations.	Second semester	6	CHIM/03
1012088 - LABORATORY OF MECHANICS	The course is aimed to give the basic background in the experimental methods and in the elementary techniques of data analysis. In order to reach these goals, the course is based on lectures and laboratory work. At the end of the course, students should have reached the following competences :to know the procedure to perform measurements of physical quantities and to assess the correct uncertainty;to be able to carried out simple experiments and to present the results in a scientific style;to be able to use very simple computer programs in order to analyze experimental data or to write simple programs for data analysis;to know the concept of probability and the basis of statistics, including the main probability distribution functions and the simplest hypothesis tests.	Second semester	12	FIS/01

Second year

Orientamento unico
Course		Semester	CFU	SSD	Language
1018970 - VECTORIAL ANALYSIS	Providing essential tools for successive approach to functional analysis, functions of one complex variable, measure theory, quantum mechanics.	First semester	9	MAT/05
1018971 - THERMODYNAMICS AND LABORATORY	The students are expected to gain knowledge of laws of thermodynamics and understand how these fundamental laws are applied to ideal (ideal gases) and real (real gas) thermodynamic systems. As a part of the laboratory exercise, students will be experimenting on the applicability of the thermodynamics laws and acquiring practical knowledge on methods to measure thermodynamic quantities (temperature, heat, pressure etc.). Students will also gain knowledge of transport phenomena, with practical exercises with vacuum systems and instrumentation.	First semester	9	FIS/01
1012112 - RELATIVISTIC QUANTUM MECHANICS	The course provides an introduction to the Lagrangian and Hamiltonian Mechanics, both at theoretical level and as tools for the solution of problems of classical mechanics. Concerning the Special Relativity, we adopt an historical approach with emphasis on the physical issues.	First semester	6	FIS/02
1038470 - ASTRONOMY	Structure and Evolution of Stars. The Solar System. Galaxies.	First semester	6	FIS/05
- A SCELTA DELLO STUDENTE		First semester	6
1018972 - ELETTROMAGNETISM	learning the subjects of Electricity, Magnetism and Electrodynamics in the realm of classical mechanics. acquiring of the ability to solve problems in electrodynamics.	Second semester	12	FIS/01
1022852 - LABORATORY OF ELECTROMAGNETISM AND CIRCUITS	Basic knowledge of electrical circuit theory and the most common circuit elements. Ability to build simple electrical circuits in the laboratory and to use the basic instrumentation for electrical measurements (multimeter and oscilloscope).	Second semester	6	FIS/01
1038352 - MODELS AND MATHEMATICAL METHODS IN PHYSICS	Provide the students with fundamentals concepts in complex and functional analysis as detailed in the program and stimulate the student's ability to find out how they apply to physics.	Second semester	9	FIS/02

Third year

Orientamento unico
Course		Semester	CFU	SSD	Language
1038092 - QUANTUM MECHANICS AND STATSTICAL MECHANICS	Aim of the course is to introduce the basic notions of non-relativistic quantum mechanics and its interpretation, and of classical and quantum statistical mechanics At the end of the course the successful student should: Quantum Mechanics 1) have understood the definition of physical state and the superposition principle in quantum mechanics, the definition of physical observable, and the meaning of possible outcomes and average value of the measure of an observable; 2) know the physical consequences of the (in-)compatibility between (non-)commuting observables; 3) be acquainted with Dirac's formalism and Schroedinger's formulation; be able to translate the quantities of interest from one to the other formalism; 4) be able to determine the time evolution of a physical state from the Schroedinger equation and have understood the definition of stationary state; 5) be able to solve elementary quantum-mechanical problems in one dimension; 6) have understood the concepts of infinitesimal transformation, symmetry and invariance and their consequences for space- and time-translations, parity and time-reversal; 7) have understood the definition of angular momentum in quantum mechanics and the different representations of angular momenta and their eigenstates in dimensions two and three; 8) have learned the notion of spin and the difference between orbital angular momentum and spin; 9) be able to combine angular momenta; 10) be able to solve elementary problems in three-dimensions; 11) have understood the concept of identical and indistinguishable particles in quantum mechanics; be able to determine the states of a system of indistinguishable particles both for bosons and fermions; 12) be able to compute the shift of energy levels and the eigenstates of the Hamiltonian to first and second order in time-independent perturbation theory; 13) be able to compute, under a time-dependent perturbation, the time evolution of the wavefunction to first order and the transition probability per unit time (transition rate); 14) have understood the adiabatic theorem and its consequences. Statistical Mechanics 1) be able to deal with topics concerning the applications of statistical mechanics at equilibrium and off equilibrium; 2) become proficient and acquainted with subjects such as variational principles, probabilistic evolution laws, phase transitions, treatment of complex systems; 3) be able to confront with the analysis of the structure of complex systems through statistical-mechanics techniques, with the purpose of applications in the case of physical systems, social and economic systems, and problems in biology and medicine.	First semester	12
MECCANICA QUANTISTICA		First semester	6	FIS/02
MECCANICA STATISTICA		First semester	6	FIS/02
1038469 - ASTROPHYSICS	To know the most important phenomena happening in the universe. To be able to model astrophysical and cosmological phenomena. To be able to use physical laws to understand astrophysical and cosmological observations.	First semester	6	FIS/05
1039018 - FLUIDODYNAMICS FOR ASTROPHYSICS	The main aim of the course is to introduce students to the basic equations describing fluid flows by mean of a careful mathematical treatment of the involved physical aspects. The Lagrangian and Eulerian views will be introduced and their applications to both ideal and realistic fluids and gases presented and discussed. In particular, the unavoidable numerical treatment of dynamics of gases and fluids in astrophysical conditions will be discussed. The, Lagrangian, Smooth Particle Hydrodynamics method (SPH) will be presented as one of the best suited to applications where a body force, like gravity, is present.	First semester	6	FIS/05
1038471 - Astrophysics Laboratory	To acquire basic photon measurement methods, and their most common applications in astronomy, via hands-on laboratory and telescope measurements.	First semester	9	FIS/05
1018976 - OPTICS AND LABORATORY	At the end of the course the students will know the main aspects of physical optics, in particular interference, diffraction and those phenomena related to the polarization of light. Besides the acquisition of the theoretical aspects, laboratory experiments on these phenomena, based on the use of advanced instrumentation are also planned.	Second semester	9	FIS/01
1012093 - STRUCTURE OF MATTER	To learn how to apply the principles of quantum mechanics to describe the behaviour of atoms and molecules, as a bridge for the comprehension of the collective behaviour of matter.	Second semester	6	FIS/03
- A SCELTA DELLO STUDENTE		Second semester	6
AAF1101 - English language	To provide students with the basic linguistic skills needed to deal with written scientific communication.	Second semester	3
AAF1001 - FINAL EXAM	The final exam consists of the presentation of a report on the activities conducted during the stage/thesis. The preparation for this exam implies skills related to the presentation of her/his work, and the capability to discuss and argue with an audience fully aware of the topics presented.	Second semester	3

Fisica applicata

First year

Orientamento unico
Course		Semester	CFU	SSD	Language
1015375 - GEOMETRY	Basics in linear algebra and geometry. Linear systems and their geometrical interpretation for 2 or 3 unknowns. Familiarity with rigorous reasoning, with numerical and symbolic calculus, with the analysis of problems using an optimal strategy. Familiarity with vectors and matrices, and with geometrical entities in 2 or 3 dimensions in connection with equations of degree 1 or 2. Understanding of linear applications and, in particular, of diagonalisation.Risultati di apprendimento attesi (Inglese): I expect constant learning as the course goes on; learning will be increased by tutorials and tests. Little difficulties can be solved also by an email contact. Although the beginning may be difficult, mostly due to faults in the mathematical background, after the first impact - in several cases after the first or second written examination - one expects a net improvement.	First semester	9	MAT/03
1018864 - ANALYSIS	The aim of the course is to develop in the students conceptual understanding, computational skills, critical competence and ability to apply mathematical tools to the natural phenomena they will encounter in the other courses.The student learns to deal with the appropriate tools, the study of functions and their qualitative properties, the calculus of maxima and minima, the calculus of areas, the primitive function, the solutions of differential equations and the approximation of functions with polynomials.He also acquires a critical feeling which is useful to manage no-standard problems.	First semester	9	MAT/05
1035105 - LABORATORY OF COMPUTING	The course will provide the basic knowledge to understand numerical computational methods tipically employed in physics and to write simple computer programs. Learning the specific language (C) and operating system (Linux) is exclusivelyu aimed at developing the student’s ability in terms of analysis and description of algorithms needed to solve physics problems.	First semester	6	FIS/01
AAF1137 - COMPUTER SKILLS	The goal is to give students the practical ability to use a modern personal computer and perform the basic operations of use (on, off, data and program management), on proprietary OS or open source.	First semester	3
1018843 - MECHANICS	The goal of this course is to teach the fundamental laws of mechanics, and to develop the problem-solving ability of the student, with applications of vector and differential calculus.	Second semester	12	FIS/01
1022782 - CHEMISTRY	The chemistry course provide a basic overview of the chemistry, structure and reactivity of chemical compounds. All topics are addressed in a simple way. Objective of this course is to encourage students to think and solve chemical problems. At the end of the course students will know different types of reactions, stoichiometric balancing, chemical bond and molecular structures, interactions between molecules and the different states of matter, the laws of chemical equilibria and chemical kinetics, will have the ability to correlate the microscopic structure, atomic and molecular to the physical and chemical properties of matter. Students will be able to solve chemical problems and calculations.	Second semester	6	CHIM/03
1012088 - LABORATORY OF MECHANICS	The course is aimed to give the basic background in the experimental methods and in the elementary techniques of data analysis. In order to reach these goals, the course is based on lectures and laboratory work. At the end of the course, students should have reached the following competences :to know the procedure to perform measurements of physical quantities and to assess the correct uncertainty;to be able to carried out simple experiments and to present the results in a scientific style;to be able to use very simple computer programs in order to analyze experimental data or to write simple programs for data analysis;to know the concept of probability and the basis of statistics, including the main probability distribution functions and the simplest hypothesis tests.	Second semester	12	FIS/01

Second year

Orientamento unico
Course		Semester	CFU	SSD	Language
1018970 - VECTORIAL ANALYSIS	Providing essential tools for successive approach to functional analysis, functions of one complex variable, measure theory, quantum mechanics.	First semester	9	MAT/05
1018971 - THERMODYNAMICS AND LABORATORY	The students are expected to gain knowledge of laws of thermodynamics and understand how these fundamental laws are applied to ideal (ideal gases) and real (real gas) thermodynamic systems. As a part of the laboratory exercise, students will be experimenting on the applicability of the thermodynamics laws and acquiring practical knowledge on methods to measure thermodynamic quantities (temperature, heat, pressure etc.). Students will also gain knowledge of transport phenomena, with practical exercises with vacuum systems and instrumentation.	First semester	9	FIS/01
1012112 - RELATIVISTIC QUANTUM MECHANICS	The course provides an introduction to the Lagrangian and Hamiltonian Mechanics, both at theoretical level and as tools for the solution of problems of classical mechanics. Concerning the Special Relativity, we adopt an historical approach with emphasis on the physical issues.	First semester	6	FIS/02
1012086 - LABORATORY OF COMPUTATIONAL PHYSICS I	The course will give to the student the basic notions needed tounderstand and to implement numerical methods useful in physics, and to write simple, stand alone codes. Learning the C language is functional to developing the student ability to analyze and describe algorithms.	First semester	6	INF/01
1018972 - ELETTROMAGNETISM	learning the subjects of Electricity, Magnetism and Electrodynamics in the realm of classical mechanics. acquiring of the ability to solve problems in electrodynamics.	Second semester	12	FIS/01
1022852 - LABORATORY OF ELECTROMAGNETISM AND CIRCUITS	Basic knowledge of electrical circuit theory and the most common circuit elements. Ability to build simple electrical circuits in the laboratory and to use the basic instrumentation for electrical measurements (multimeter and oscilloscope).	Second semester	6	FIS/01
1036314 - MATHEMATICAL MODELS AND METHODS OF PHYSICS	Provide the students with fundamentals concepts in complex and functional analysis as detailed in the program and stimulate the student's ability to find out how they apply to physics.	Second semester	12
MODULO II		Second semester	6	FIS/02
MODULO I		Second semester	6	FIS/02

Third year

Orientamento unico
Course		Semester	CFU	SSD	Language
1018852 - QUANTUM MECHANICS	Aim of the course is to introduce the basic notions of non-relativistic quantum mechanics and its interpretation. At the end of the course the students should: 1) have understood the definition of physical state and the superposition principle in quantum mechanics, the definition of physical observable, and the meaning of possible outcomes and average value of the measure of an observable; 2) know the physical consequences of the (in-)compatibility between (non-)commuting observables; 3) be acquainted with Dirac's formalism and Schroedinger's formulation; be able to translate the quantities of interest from one to the other formalism; 4) be able to determine the time evolution of a physical state from the Schroedinger equation and have understood the definition of stationary state; 5) be able to solve elementary quantum-mechanical problems in one dimension; 6) have understood the concepts of infinitesimal transformation, symmetry and invariance and their consequences for space- and time-translations, parity and time-reversal; 7) have understood the definition of angular momentum in quantum mechanics and the different representations of angular momenta and their eigenstates in dimensions two and three; 8) have learned the notion of spin and the difference between orbital angular momentum and spin; 9) be able to combine angular momenta; 10) be able to solve elementary problems in three-dimensions; 11) have understood the concept of identical and indistinguishable particles in quantum mechanics; be able to determine the states of a system of indistinguishable particles both for bosons and fermions; 12) be able to compute the shift of energy levels and the eigenstates of the Hamiltonian to first and second order in time-independent perturbation theory; 13) be able to compute, under a time-dependent perturbation, the time evolution of the wavefunction to first order and the transition probability per unit time (transition rate); 14) have understood the adiabatic theorem and its consequences.	First semester	9	FIS/02
1018853 - STATISTICAL MECHANICS	Knowledge and understanding: Successful students will be able to deal with topics concerning the applications of statistical mechanics at equilibrium and off equilibrium, and will become proficient and acquainted with subjects such as variational principles, probabilistic evolution laws, phase transitions, treatment of complex systems. Skills and attributes: Successful students will be able to confront with the analysis of the structure of complex systems through statistical-mechanics techniques, with the purpose of applications in the case of physical systems, social and economic systems, and problems in biology and medicine.	First semester	6	FIS/02
1018975 - LABORATORY OF SIGNALS AND SYSTEMS	The objectives of this course are to provide all students with sufficient knowledge of electronics, from a theoretical point of view, and, mostly, from a practical point of view. The students will acquire the ability of designing, building and operating simple circuits; the knowledge and terminology needed for further progress in the field of electronics, either in their working life or as part of subsequent studies (Degree), and for effective interactions with experts to solve more complex problems. It's therefore necessary to provide students with theoretical knowledge, hands-on laboratory experience and technical (and terminologic) notions on the most important and common electronic devices.	First semester	9	FIS/01
- A SCELTA DELLO STUDENTE		First semester	6
1018976 - OPTICS AND LABORATORY	At the end of the course the students will know the main aspects of physical optics, in particular interference, diffraction and those phenomena related to the polarization of light. Besides the acquisition of the theoretical aspects, laboratory experiments on these phenomena, based on the use of advanced instrumentation are also planned.	Second semester	9	FIS/01
- A SCELTA DELLO STUDENTE		Second semester	6
AAF1101 - English language	To provide students with the basic linguistic skills needed to deal with written scientific communication.	Second semester	3
AAF1001 - FINAL EXAM	The final exam consists of the presentation of a report on the activities conducted during the stage/thesis. The preparation for this exam implies skills related to the presentation of her/his work, and the capability to discuss and argue with an audience fully aware of the topics presented.	Second semester	3
GRUPPO B AFFINE INTEGRATIVO CURRICULUM FISICA APPLICATA		Go to group
GRUPPO A CURRICULUM FISICA APPLICATA		Go to group

Optional Groups

**GRUPPO A CURRICULUM FISICA APPLICATA: The student must acquire 6 CFU from the exams below**
Course		Year	Semester	CFU	SSD	Language
1012075 - NUCLEAR AND SUBNUCLEAR PHYSICS I	The student will get acquainted with the foundation of Nuclear and Particle Physics going through the main discoveries which brought us to the present understanding of the elementary particles and their interactions. This will be strictly correlated with quantum mechanics developments and particle detectors and accelerators techniques. At the end of the course, the student will be able to use the relativistic kinematic to analyse nuclear and particle reactions and decays, to figure out cross sections and to carry out selection rules from the conservations of quantum numbers.	Third year	Second semester	6	FIS/04
1012093 - STRUCTURE OF MATTER	To learn how to apply the principles of quantum mechanics to describe the behaviour of atoms and molecules, as a bridge for the comprehension of the collective behaviour of matter.	Third year	Second semester	6	FIS/03

**GRUPPO B AFFINE INTEGRATIVO CURRICULUM FISICA APPLICATA: The student must acquire 6 CFU from the exams below**
Course		Year	Semester	CFU	SSD	Language
1041490 - COMPUTING OF PROBABILITY	At the end of the course the student should be able to solve advanced problems of probability and be able to find the resolution of a number of stochastic processes typically encountered within physics problems. It should also be able to make a proper statistical analysis of experimental data.	Third year	First semester	6	FIS/02
1003227 - GENERAL ELECTRONICS	To acquire knowledge, skills and abilities on analog and digital signal processing circuits and systems: signal and system representation in time and frequency domain, methods for circuit analysis, working principles, modeling and use of electronic devices, elementary project criteria.	Third year	First semester	6	FIS/01
1041496 - INTRODUCTION TO ATMOSPHERE PHYSICS	Knowledge of the relevant atmospheric physical processes. In particular: 1) thermodynamics of moist air; 2)microphysics and cloud formation and 3) the basic laws of atmospheric dynamics.	Third year	Second semester	6	FIS/01
1044375 - APPLIED PHYSICS PRIMER	To give an overview of the applications of radiation physics along with the basic physics knowledge needed to understand such applications.	Third year	Second semester	6	FIS/01
1041491 - LABORATORY OF SIGNALS AND SYSTEMS II	Insights in modern analog and digital electronics.	Third year	Second semester	6	FIS/01
1035266 - Genetics and Evolution	The aim of the course is to give to the students a general framework of the principles and of the processes of genetics and evolution, deepening especially the topics that can be most usefully framed in the physical sciences.	Third year	Second semester	6	FIS/07

Navigation

Regolamento didattico

Descrizione del percorso di formazione