CFU

8

Length

14 Weeks

Semester DD

First

**Course for the master degrees in: Astrophysics and Space Science; Physical of Complex Systems and Big Data**

Fundamental principles of quantum mechanics and understanding thereof. Symmetries and conserved quantities in quantum mechanics. Path integral and its use for the semiclassical expansion and the classical limit. Potential scattering. Stationary states. Wave packets. Cross section. Partial waves. Optical theorem. Lippmann-Schwinger equation. Born series. Relativistic quantum mechanics and some applications to particle physics.

LEARNING OUTCOMES:

Students must gain a thorough understanding of quantum mechanics and its basic principles. In particular, at the end of the course, they will have to be familiar with 1) the link between conserved quantities and symmetries in quantum mechanics, 2) path integral, 3) scattering theory and 4) relativistic quantum mechanics.

KNOWLEDGE AND UNDERSTANDING:

In addition to knowing the topics listed in the learning outcomes, students will also need to understand how these are constructed starting from the basic principles of quantum mechanics and the empirical data. The verification of knowledge and understanding is done through practical and theoretical, written and, if required, oral tests.

APPLYING KNOWLEDGE AND UNDERSTANDING:

Students will acquire the ability to put into practice the knowledge acquired to solve quantum mechanical problems related to the topics listed in the learning outcomes.

MAKING JUDGEMENTS:

The ability to select the best method (among those treated) for solving quantum mechanical problems will be required.

COMMUNICATION SKILLS:

The ability to communicate and explain the knowledge acquired to an audience with the prerequisites of the course will be required.

LEARNING SKILLS:

The possibility will be given to deepen some topics covered by means of textbooks, monographs and scientific articles, if required by the interest and understanding. The ability to autonomously appreciate the existing scientific literature on the topics covered will, therefore, be required.