Chapter 17
Racah Algebra

Vector coupling coefficients: 3-j symbols

Vector coupling of angular momentum
Clebsch-Gordan coefficients
Example: singlets and triplets
Example: doublets
3-j symmetries
Quadrupole moments

Recoupling coefficients: 6-j symbols

Addition of 2 angular momentum
6-j symbols
Recoupling of 3 angular momenta

Recoupling identities

Useful identity
Application to quadrupole moments
Evaluation of terms

Example: spin 1/2 systems

Spin 1/2 system
LS and jj coupling
Wigner-Eckert theorem
Application to single m-sum
Addition of angular momentum
Landé g-factor

Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12