Exercises on Elementary Particle Physics

Exercises on Elementary Particle Physics (WS 02/03)


The lectures take place on mondays from 11-13ct at Seminarraum ITKP and on fridays 10-12ct at Hörsaal IAP.

The exercises take place on wednesdays from 16-18ct at Seminarraum 1, PI.
Concerning questions or comments please contact Marc or Martin.



Number Contents Download
Exercise 01 1. The Dirac equation
2. Free solutions of the Dirac equation
[Ex01.ps]
[Ex01.pdf]
Homework 01 1. The adjoint Dirac equation and currents
2. Completeness relations
[Hw01.ps]
[Hw01.pdf]
Exercise 02 1. Massless fermions
2. Chirality and helicity
[Ex02.ps]
[Ex02.pdf]
Homework 02 1. Covariance of the Dirac equation
1. Covariant bilinears
[Hw02.ps]
[Hw02.pdf]
Exercise 03 1. Nonrelativistic perturbation theory
2. Spin 1/2 fermions coupled to an electromagnetic field
[Ex03.ps]
[Ex03.pdf]
Homework 03 1. Some kinematics [Hw03.ps]
[Hw03.pdf]
Exercises 04 1. A few remarks on groups, representations and all that [Ex04.ps]
[Ex04.pdf]
Homework 04 1. Young tableau gymnastics
2. Crossing symmetry
[Ex04.ps]
[Ex04.pdf]
Exercises 05 1. Young tableaux II
2. SL(n, C)
3. More about Weyl spinors
[Ex05.ps]
[Ex05.pdf]
Homework 05 1. Some SU(n) product representations
2.-4. A few identities
5. The Euler-Lagrange equations of fields
[Ex05.ps]
[Ex05.pdf]
Exercises 06 1. C,P & T for spinors [Ex06.ps]
[Ex06.pdf]
Homework 06 1. Lecture clean-up [Ex06.ps]
[Ex06.pdf]
Exercises 07 1. Trace- and Contraction-Theorems I [Ex07.ps]
[Ex07.pdf]
Homework 07 1. Trace- and Contraction-Theorems II
2. Electron-Positron Scattering
[Ex07.ps]
[Ex07.pdf]
Exercises 08 1. Spontaneous Symmetry Breakdown [Ex08.ps]
[Ex08.pdf]
Homework 08 1. Gauge Invariance of Non-Abelian SU(2) Gauge Theory [Ex08.ps]
[Ex08.pdf]
Exercises 09 1. Lecture Clean-up and completion
2. The See-Saw Machanism
[Ex09.ps]
[Ex09.pdf]
Homework 09 1. Hypercharge Quantization
2. Unitary Gauge
3. Consequences of SSB
4. Grand Unified Theories
[Ex09.ps]
[Ex09.pdf]
Exercises 10 1. Muon Decay (Part I) [Ex10.ps]
[Ex10.pdf]
Homework 10 1. Muon Decay (Part II) [Hw10.ps]
[Hw10.pdf]
Exercises 11 1. Meson Decay (Part I)
2. The GIM-mechanism
3. The KM-matrix with N generations
[Ex11.ps]
[Ex11.pdf]
Homework 11 1. Meson Decay (Part II)
2. No leptonic KM-matrix
[Ex11.ps]
[Ex11.pdf]
Exercises 12 1. e^- e^+ Scattering: QED and the Weak Interarcion [Ex12.ps]
[Ex12.pdf]
Homework 12 1. e^- e^+ Scattering with the Weak Interarcion [Ex12.ps]
[Ex12.pdf]
Exercises 13 1. The See-Saw-mechanism and CP-violating Phases [Ex13.ps]
[Ex13.pdf]
Homework 13 1. Nuclear beta-Decay and massive neutrinos [Ex13.ps]
[Ex13.pdf]