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Vector Coupling
Vector Coupling
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Angular Momentum Vector Coupling Algebra
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References: [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. |
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Clebsch-Gordan coefficientC JMj1 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 | ||||||||||||
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