Advanced Quantum Mechanics of Relativistic Particles 1100-4AQMRP
Program:
1. The Dirac equation: construction, interpretation, free solutions, hydrogen atom, non-relativistic limit.
2. Canonical formalism and free field quantization: scalar field, Dirac field, electromagnetic field.
3. Quantum Electrodynamics.
4. S-matrix, cross sections, lifetimes.
5. Perturbation theory, Feynman diagrams.
Main fields of studies for MISMaP
Course coordinators
Term 2025Z: | Term 2026Z: |
Mode
Learning outcomes
The student receives fundamental knowledge on the relativistic Dirac equation, Quantum Electrodynamics and other quantum field theories. He/she is able to solve the Dirac equation in simple potentials, calculate tree-level Feynman diagrams with fermions, scalars and gauge bosons, determine differential and total cross-sections for scattering processes, as well as lifetimes of unstable particles.
Assessment criteria
Written test during the semester. Written and oral final exams.
To take the oral exam, the student must have received 50% of points either from written test or from one the written exams. The final mark depends on results from the tests, the written exam, as well as on the performance at the oral exam.
Final grade will be evaluated as follows. First, based on average result from two best written tests, base grade will be assigned:
< 60%: 2
[60%,70%):3
[70%,75%): 3+
[75%,85%): 4
[85%,90%): 4+
[90%,100%]: 5
Then, oral exam can modify the final result for up to two levels each direction.
Participation in classes is strongly encouraged. It is believed to help pass the course.