- Docente: Daniele Tantari
- Credits: 6
- SSD: MATH-04/A
- Language: Italian
- Teaching Mode: In-person learning (entirely or partially)
- Campus: Bologna
- Corso: Second cycle degree programme (LM) in Mathematics (cod. 6730)
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from Sep 15, 2026 to Dec 17, 2026
Learning outcomes
At the end of the course, the student has an exact knowledge of the mathematical formalisms underlying physical theories. In particular, it focus on those parts of mathematics developed for the comprehension of some physical phenomena. Better understands of physics better through depth knowledge of its mathematical language.
Course contents
Special Relativity
- Wave equation, decomposition into plane waves, waves and the principle of relativity.
- Absolute motion, aether theory, Lorentz theory: from the experiments to Einstein's theory;
- Relativistic Kinematics: Lorentz transformations, relativistic composition of velocities, simultaneity and causality, Minkowski spacetime;
- Relativistic Dynamics: principle of relativity and relativistic mass; mass–energy equivalence; four-momentum and conservation laws; decays, disintegrations, and binding energy.
Principles of Quantum Mechanics
- Emission and absorption spectra, Planck’s law, and the photoelectric effect;
- From atomic models to Bohr–Sommerfeld quantization;
- Introduction to the Schrödinger equation: geometrical and wave optics, classical and wave mechanics, and de Broglie theory;
- Axioms of Quantum Mechanics and their connection with the theory of linear operators in Hilbert spaces.
Readings/Bibliography
Class notes
Teta, Alessandro. A Mathematical Primer on Quantum Mechanics. Berlin: Springer, 2018.
Teaching methods
Classroom lectures
Assessment methods
The exam consists of an oral interview in order to verify the knowledge of the arguments listed in the Course Contents. The oral exam starts with a question on a subject chosen by the student.
Teaching tools
Lecture notes and updated record of lessons.
Office hours
See the website of Daniele Tantari