[1] A. R. Edmonds, Angular Momentum in Quantum Mechanics, Princeton University Press 1974.

[2] E. Condon, and G. Shortley, The Theory of Atomic Spectra, Cambridge, 1935.

Clebsch-Gordan coefficient

C ^{JM}_{j1 m1, j2 m2}^{ }often also denoted as
<j1 m1, j2 m2|j1 j2 J M> and referred to as vector-coupling or Wigner
coefficient. The calculation uses the phase convention [1,2], where <j1 j1, j2
m2|j1 j2 J J> is positive for all allowed J (m2=J-j1)

Three-j Symbol

The Wigner 3-j symbol is a more symmetric expression of the vector coupling,
directly related to the Clebsch-Gordan coefficient. For symmetry property and
other relations see [1].

Six-j Symbol

Alexander Volya

e-mail:

volya@phy.fsu.edu

address:

Alexander Volya
Department of Physics,
Florida State University,
208 Keen Building,
Tallahassee, FL 32306-4350, USA

phone:

+1(850) 644-1804

fax:

+1(850) 644-8630

web:

www.volya.net

If this website is used in a published work please cite:
A. Volya http://www.volya.net