| Code |
GP005492 |
| CFU |
6 |
| Teacher |
Maria Cristina Diamantini |
| Teachers |
- Maria Cristina Diamantini
|
| Hours |
- 42 ore - Maria Cristina Diamantini
|
| Learning activities |
Caratterizzante |
| Area |
Teorico e dei fondamenti della fisica |
| Sector |
PHYS-02/A |
| Type of study-unit |
Obbligatorio (Required) |
| Language of instruction |
Italian |
| Contents |
Discrete Symmetries in quantum mechanics. Relativistic quantum mechanics: Klein-Gordon and Dirac equations. Solutions of the free Dirac equation. Relativistic hydrogen atom. Introduction to group theory. Lie groups and Lie algebras. Representations. |
| Reference texts |
Sakurai, Modern quantum mechanics. Itzykson-Zuber, Quantum Field Theory. Wybourne, Classical Groups for Physicists. Georgi, Lie Algebras in Particle Physics. |
| Educational objectives |
Aim of the course is the introduction to relativistic quantum mechanics, negative energy solutions and use of Dirac matrices. The students should also acquire basic knowledge of group theory and representations. |
| Prerequisites |
Knowledges of quantum mechanics and special relativity |
| Teaching methods |
Theory courses |
| Other information |
None |
| Learning verification modality |
Exercises sessions to verify comprehension. The exam consists in a written and oral part. If the written score reaches a minimum of 18/30 the candidate can access to the oral part.The final score will be the average of the two scores. |
| Extended program |
Discrete symmetries in quantum mechanics.Parity. Anti-unitary operators, time reversal. Relativistic quantum mechanics, Klein Gordon and Dirac equations. Dirac equation: gamma matrices, covariance, bilinear forms. Solutions of the free Dirac equation. Energy projectors. Spin. Dirac sea, charge conjugation. Dirac equation in presence of an electromagnetic field, non relativistic limit. Hydrogen atom. Introduction to group theory and properties. Lie groups. Lie algebras. Representations. Example of the SO(3) and SU(2) groups. Lorentz group. |
