Skip to main content
grasp.study
About
Explore
Pricing
Log in
Try it for free
Back to course
👋
Welcome to a Grasp lesson
Create a free account
to keep studying and create your own study path.
Canonical Quantization of QFT
·
Module 4
Tree-Level Processes in QED
1
Calculating the Squared Matrix Element for e⁻μ⁻ Scattering
Calculate the unpolarized, squared matrix element for e⁻μ⁻ → e⁻μ⁻ scattering using Casimir's trick and gamma matrix trace technology.
2
Unpolarized, Squared Matrix Element for e⁺e⁻ → μ⁺μ⁻
Calculate the unpolarized, squared matrix element for e⁺e⁻ → μ⁺μ⁻ scattering.
3
Muon Pair Production Cross-Section
Derive the differential and total cross-section for e⁺e⁻ → μ⁺μ⁻ in the high-energy limit.
4
Calculating the Squared Matrix Element for Compton Scattering
Calculate the unpolarized, squared matrix element for Compton scattering (e⁻γ → e⁻γ).
5
Klein-Nishina Formula Derivation
Derive the Klein-Nishina formula for the differential cross-section of Compton scattering.
6
Calculating the Matrix Element for e⁺e⁻ → γγ
Calculate the unpolarized, squared matrix element for pair annihilation (e⁺e⁻ → γγ).
7
Mandelstam Variables and Lorentz-Invariant Scattering Amplitudes
Explain the concepts of Mandelstam variables (s, t, u) and use them to express scattering amplitudes in a Lorentz-invariant way.
8
Tree-Level QED Total Cross-Section: Numerical Evaluation and Energy Dependence
Numerically evaluate the total cross-section for a tree-level QED process and compare its energy dependence with theoretical predictions.
Previous module
Fermionic Fields and Quantum Electrodynamics (QED)
Next module
Radiative Corrections and Renormalization in QED