Relativistic Quantum Mechanics
Convenor: Karolos Potamianos (Warwick)
Module Code: PP2
Duration (Hours): 10 hourly sessions
Start date and Commitments
Start: 2/10/2023
Mo 12-13, Wed 11-12
No lectures on week commencing 16 and 23 October, with these 4 lectures delivered on Mondays 6 and 13 November at 12-13 and Wednesdays 8th and 15th November at 11-12
Module Details
The module aims to provide an introduction to the calculation of scattering amplitudes in High Energy Physics. It is intended for particle physics PhD students. At the end of the module students should: have an appreciation for the nature of relativistic quantum mechanics; have an understanding of the Dirac equation and its significance; and understand how to calculate decay rates and cross-sections for simple scattering processes.
Course Syllabus:
Lecture 1: Special Relativity and Lorentz Invariance
Lecture 2: Examples of Lorentz Invariance: Maxwell and Klein Gordon Equations
Lecture 3: Perturbation Theory for Particle Scattering
Lecture 4: Coulomb Scattering of Charged Spin-0 Particles
Lecture 5: Invariant Amplitudes, Feynman Diagrams and Cross-Sections
Lecture 6: Calculating Cross-Sections for Spin-0 Scattering
Lecture 7: The Dirac Equation
Lecture 8: Dirac Equation: Spin, Antiparticles and Feynman Rules
Lecture 9: Coulomb Scattering of Charged Spin-1/2 Particles
Lecture 10: Spin Sums and Trace Techniques
Assessment:
The course assessment is based on returned solutions to two problems sets. The first problem set will be set at the half-way point in the course. The second problem set will be set at the end of the course. Solutions to the problem sets should be submitted by the 8th of December (3 weeks after the end of the course).
Recommended Texts:
The course is largely based on:
"Quarks and Leptons: An Introductory Course in Modern Particle Physics" by F. Halzen and A. Martin
Course Notes:
Detailed notes on the content of the course can be found here.
Problem sets:
Problem set 1: Klein-Gordon equation and spin-less scattering
Problem set 2: Dirac equation and spin-1/2 scattering