Chapter 17
Racah Algebra

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Vector coupling coefficients: 3-j symbols

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

Recoupling coefficients: 6-j symbols

Addition of 2 angular momentum
6-j symbols
Diagrams
Recoupling of 3 angular momenta
(continued)
(continued)
(continued)
(continued)

Recoupling identities

Useful identity
Lemma
Application to quadrupole moments
Evaluation of terms
(continued)
(continued)

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

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