
Course unit
MODERN PHYSICS (Iniziali cognome MZ)
SCP3051032, A.A. 2019/20
Information concerning the students who enrolled in A.Y. 2018/19
ECTS: details
Type 
ScientificDisciplinary Sector 
Credits allocated 
Core courses 
FIS/03 
Material Physics 
2.0 
Core courses 
FIS/02 
Theoretical Physics, Mathematical Models and Methods 
6.0 
Course unit organization
Period 
Second semester 
Year 
2nd Year 
Teaching method 
frontal 
Type of hours 
Credits 
Teaching hours 
Hours of Individual study 
Shifts 
Practice 
2.0 
16 
34.0 
No turn 
Lecture 
6.0 
48 
102.0 
No turn 
Examination board
Board 
From 
To 
Members of the board 
6 Fisica Moderna (iniziali cognome MZ) 
01/10/2018 
30/11/2019 
SENO
FLAVIO
(Presidente)
MARCHETTI
PIERALBERTO
(Membro Effettivo)
LECHNER
KURT
(Supplente)

5 Fisica Moderna (iniziali cognome AL) 
01/10/2018 
30/11/2019 
MARCHETTI
PIERALBERTO
(Presidente)
SENO
FLAVIO
(Membro Effettivo)
LECHNER
KURT
(Supplente)

Prerequisites:

Mathematical Analysis 1,2,3, Geometry, General Physics 1,2. 
Target skills and knowledge:

The course highlights the experiments and the theoretical issues underlying the scientific revolution that replaces classical mechanics and electromagnetism with special relativity and quantum mechanics. In the first part we introduce special relativity, discussing its origin, the logic of its structure and the innovative features of its consequences. In the second part we discuss the experimental findings leading to the concept of quantization and we introduce the basis of quantum mechanics and atomic physics. 
Examination methods:

Written and oral examination 
Assessment criteria:

To evaluate the understanding of the theoretical concepts and to check the ability of solving exercises related to the topics of the course. 
Course unit contents:

First Part: Special Relativity. Galilean transformations. Galilean Relativity. Electromagnetism and galilean relativity. The MichelsonMorley experiment. The postulates of Special Relativity. Observers and measures of space and time. Relativity of simultaneity. The Lorentz transformations. The Minkovski diagrams. Invariance of spacetime interval. Length contraction. Time dilatation. Lightcones and causality. Composition law for velocities. The Doppler effect. Twin paradox. Fourvectors. The Poincaré group and the Lorentz group. Covariant and controvariant tensors. Metric tensor. Transformation laws for fields. Fourvelocity, fourmomentum and fourforce. Relativistic kinetic energy. Massenergy equivalence. Relation between energy and momentum. Massless particles. General description of scattering: elastic and inelastic scattering. Kinematical invariants. Twobody elastic scatterings. Decays. Electromagnetic tensor. The Maxwell equations in covariant form. Transformation law for electromagnetic fields. Invariants for electromagnetic fields. Charged particle in electric and/or magnetic constant fields. Fourcurrent for pointlike charged particles.
Second part. The crisis of classical physics: the Photoelectric Effect , Einstein’s Quantum Theory of Photoelectric effect , Photons, Matter Waves and the DavissonGermer experiment. Compton effect. Young’s interference experiment : the behavior of classical particles, of waves and of quantum particles. Heisenberg Uncertainty Principle and its consequences. The blackbody spectrum: the StefanBoltzmann and Wien’s laws, the RaleighJeans model, Planck’s Postulate and Its Implications. The Cosmic Background Radiation. Atomic Spectra. Rydberg’s formula. Thompson’s model and Rutherford’s model. Bohr’s postulates and their consequences. The FranckHertz experiment. Mosley’s law. Properties of basic commutators. Time independent Schrodinger equation and time evolution of the wave function. Born’s interpretation of wave functions. Eigenvalues and eigenfunctions. Expectation values. Infinite square well potential. Quantum tunneling. Quantization of angular momentum. Spin. Wave function for multielectrons systems. Indistinguishability: the BoseEinstein and FermiDirac statistics. Pauli exclusion principle. Periodic Table. 
Planned learning activities and teaching methods:

Lectures of theory and exercices. 
Textbooks (and optional supplementary readings) 

V. Barone, Relatività. : Bollati Boringhieri, 2004.

A. Beiser, Concepts of Modern Physics. : Mc Graw Hill, 2003.

Innovative teaching methods: Teaching and learning strategies
 Lecturing
 Interactive lecturing
 Questioning
 Loading of files and pages (web pages, Moodle, ...)
Innovative teaching methods: Software or applications used
 Moodle (files, quizzes, workshops, ...)

