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A coupling approximation in which individual orbital angular momenta combine to total L, individual spins to total S, and then L and S combine to total J.
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
clebsch_gordan_coefficient_to_ls_coupling
Relation type
Mathematical formulation mathematical-formulation
Direction
source → target
Endpoint roles
source: Mathematically formulates; target: Mathematically formulated using
Authored annotation
changes to the coupled angular-momentum basis
Authored explanation
Clebsch–Gordan coefficients transform between uncoupled orbital-and-spin product states and states of definite total angular momentum used in LS coupling.
How to interpret this relation type
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.
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
angular_to_lscoupling
Relation type
Model / approximation method model-realization
Direction
source → target
Endpoint roles
source: Has model / approximation; target: Model / approximation of
Authored annotation
LS coupling regime
Authored explanation
LS coupling is useful when electrostatic interactions dominate individual spin–orbit couplings in a many-electron atom.
How to interpret this relation type
The target is a model, idealization, restricted ansatz, approximation scheme, phenomenological fit, or historical representation used for the source system or theory. It need not have a universal small error parameter and is not thereby a controlled limit or effective theory. The edge label and detail must identify the precise status.