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A coefficient transforming between uncoupled and coupled bases in a tensor product of angular-momentum representations.
The coefficients depend on basis and phase conventions; the decomposition multiplicities do not.
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This is an authored directed relation from the source endpoint to the target endpoint.
Clebsch–Gordan coefficients implement the change of basis for decomposing tensor-product representations.
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
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This is an authored directed relation from the source endpoint to the target endpoint.
Clebsch–Gordan coefficients implement successive angular-momentum couplings used to build states of definite total angular momentum in jj coupling.
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
wp-clebsch_gordan_coefficientnlab-clebsch_gordan_coefficientpdg-2026-mathematical-toolsnist-atomic-spectroscopynist-atomic-statesThis is an authored directed relation from the source endpoint to the target endpoint.
Clebsch–Gordan coefficients transform between uncoupled orbital-and-spin product states and states of definite total angular momentum used in LS coupling.
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
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