# Relativistic Quantum Mechanics

Convenor: Dr Tom Blake

Module Code: PP2

Duration (Hours): 10 hourly sessions

#### Start date and Commitments

Start: 7/10/19 End: 6/11/19

Mondays 11:00-12:00 and Wednesdays 11:00-12:00

#### Module Details

To provide an introduction to the calculation of scattering amplitudes in High Energy Physics. A more detailed course syllabus is provided below. This course is intended for particle physics Ph. D. students. 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 problems sets. These will be set on a roughly weekly basis with a return deadline one week later. Recommended Texts: The course is largely based on: "Quarks and Leptons: An Introductory Course in Modern Particle Physics" by F. Halzen and A. Martin

To provide an introduction to the calculation of scattering amplitudes in High Energy Physics. A more detailed course syllabus is provided below. This course is intended for particle physics Ph. D. students.

#### 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 problems sets. These will be set on a roughly weekly basis with a return deadline one week later.

#### Recommended Texts:

The course is largely based on:

"Quarks and Leptons: An Introductory Course in Modern Particle Physics" by F. Halzen and A. Martin