94165 - Topics in Mathematical Methods and Models in Theoretical Physics

Learning outcomes

The course introduces students to topics and tools of modern theoretical physics. At the end of the course, students will be able to deal with appropriate mathematical methods and apply theoretical models to the description of some among the most significative problems of physics

Course contents

1. Foundation of Special Relativity

2. Lorentz group

3. Minkowski space time

4. Tensor formalism

5. Rindler coordinates

6. Mandelstam variables

7. Electromagnetism, Lorentz force

8. Maxwell equations, gauge invariance

9. Electromagnetic waves

10. Green functions, retarded potentials

11. Energy momentum tensor

12. Perfect fluids

13. Relativistic field theory

Readings/Bibliography

V. Barone : Relatività. Bollati Boringhieri, 2004

J. D. Jackson Classical Electrodynamics, Wiley, 1998

Teaching methods

Lectures

Assessment methods

Final oral examination

Elementary knowledge of the program 18/30 - 23/30

Basic knowledge   24-26

Good knowledge   27-30

 

Students with Specific Learning Disabilities (SLD) or temporary/permanent disabilities are advised to contact the University Office responsible in a timely manner (https://site.unibo.it/studenti-con-disabilita-e-dsa/en ). The office will be responsible for proposing any necessary accommodations to the students concerned. These accommodations must be submitted to the instructor for approval at least 15 days in advance, and will be evaluated in light of the learning objectives of the course

Office hours

See the website of Roberto Balbinot