CODE 90693 ACADEMIC YEAR 2025/2026 CREDITS 6 cfu anno 2 MATEMATICA 9011 (LM-40) - GENOVA 6 cfu anno 1 MATEMATICA 11907 (LM-40 R) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR FIS/03 LANGUAGE Italian TEACHING LOCATION GENOVA SEMESTER 2° Semester TEACHING MATERIALS AULAWEB OVERVIEW "Elementi e Applicazioni di Fisica Moderna" (EAFM, code 90693) is a 6 credits (52 hours) worth class held during the second semester of the First or Second year of the "Laurea Magistrale" in Mathematics. Lectures are held in Italian, apart an explicit requirement do held them in english. Study material for subscribing students can be found on the AulaWeb website. AIMS AND CONTENT LEARNING OUTCOMES The course is intended to prepare students for teaching topics related to Modern Physics as covered in upper secondary schools. Its primary objective is to develop a olid foundation skills in quantum mechanics and special relativity, while promoting a deep understanding of the physical phenomena associated with these subjects. In doing so, it aims to equip future educators with the necessary knowledge and pedagocial tools to teach this portion of the school programm with confidence and competence, also highlighting relevant applications in the field of modern quantum technologies. AIMS AND LEARNING OUTCOMES The course provides basic knowledge of modern physics. At the end of the course the student will have acquired the skills necessary to understand the main phenomena of special relativity and the foundations of quantum mechanics by addressing these topics from both a historical and conceptual point of view. This knowledge will be fundamental for those wishing to undertake the teaching of physics in high school. TEACHING METHODS Traditional: oral lectures and examples worked out by teachers. SYLLABUS/CONTENT Introduction to Special Relativity Short recapitulation about classical relativity, the electromagnetic waves equation The Michelson-Morley experiment Einstein postulates Lorentz transformations A brief introduction to relativistic dynamics Applications Quantum mechanics Wave-matter dualism for electromagnetic radiation Recapitulations about the interference of electromagnetic waves The photoelectric effect, the concept of photon Blackbody radiation Principle of complementarity, probabilistic interpretation Uncertainty relationship for photons Wave-matter dualism for matter Atomic phenomena: emission spectra and the Bohr model The De Broglie hypothesis Interference effects among particles The Heisenberg uncertainty principle and wave packets The Schroedinger equation Stationary and time-dependent equation Probabilistic interpretation of the wave function Particle in a box Tunnel effect Application: scanning tunnel microscope and atomic force microscope Atomic models and particle statistics Hydrogen atom, spin, statistics The Pauli exclusion principle Fermi and Bose statistics Many-electron atoms RECOMMENDED READING/BIBLIOGRAPHY K. S. Krane "Modern Physics, 3rd edition" (Wiley) V. A. Ugarov "Special Relativity" (MIR) TEACHERS AND EXAM BOARD DARIO FERRARO Ricevimento: By appointment (email) or after classes. MAURA SASSETTI Ricevimento: Receptions are arranged with students by appointment and at the end of the lesson LESSONS LESSONS START The class will start according to the lecturing calendar approved by the "Consiglio di Corso di Studi". Class schedule The timetable for this course is available here: Portale EasyAcademy EXAMS EXAM DESCRIPTION Oral examination ASSESSMENT METHODS The oral examination will allow to assess the knowledge of the fundamental quantum and relativistic phenomena and the ability to identify their role in the explanation of natural phenomena and of the working principles of devices and technologies as discussed in the course. Agenda 2030 - Sustainable Development Goals Quality education Gender equality