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LS coupling

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Summary

A coupling approximation in which individual orbital angular momenta combine to total LL, individual spins to total SS, and then LL and SS combine to total JJ.

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Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

Clebsch–Gordan coefficientLS coupling

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This is an authored directed relation from the source endpoint to the target endpoint.

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.

Relation sources

Many-electron atomLS coupling

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This is an authored directed relation from the source endpoint to the target endpoint.

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.

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LS couplingAtomic term symbol

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

LS-coupled states are labeled by term symbols 2S+1LJ^{2S+1}L_J.

How to interpret this relation type

The target represents a state, property, observable, or state-dependent description associated with the source system or theory.

Relation sources