- Docente: Alexandr Kamenchtchik
- Credits: 7
- SSD: FIS/02
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: First cycle degree programme (L) in Physics (cod. 9244)
Learning outcomes
At the end of the course the student acquires the mathematical notions and methods necessary for the understanding of the modern physics. First, the student studies the theory of holomorphic functions and is able to calculate the contour integrals in the complex plane. Then the student learns element of the topology, linear and normed spaces. Then the student studies the Hilbert spaces and their operators, which permits to use the mathematical formalism of quantum mechanics.
Course contents
1. Theory of the holomorphic functions.
2. Topological spaces.
3. Linear spaces and normed spaces.
4. Hilbert spaces.
5. Operators in the Hilbert spaces.
Readings/Bibliography
Lectures notes.
Teaching methods
Lectures on the blackboard.
Assessment methods
Oral exams.
Teaching tools
Lectures.
Office hours
See the website of Alexandr Kamenchtchik