Wigner 9-j symbols
E1288551
UNEXPLORED
Wigner 9-j symbols are mathematical coefficients used in quantum mechanics and angular momentum theory to describe the coupling of three angular momenta and recoupling transformations.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Wigner 9-j symbols canonical | 1 |
| Wigner 9j symbols | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T17752501 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Wigner 9-j symbols Context triple: [Racah algebra, connectedTo, Wigner 9-j symbols]
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A.
Wigner 6-j symbols
Wigner 6-j symbols are mathematical coefficients in quantum angular momentum theory that encode the recoupling of three angular momenta and play a central role in Racah algebra and the representation theory of rotation groups.
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B.
Wigner 3j symbols
Wigner 3j symbols are mathematical coefficients used in quantum mechanics and angular momentum theory to describe the coupling and recoupling of three angular momenta with well-defined symmetry properties.
-
C.
Clebsch–Gordan coefficients
Clebsch–Gordan coefficients are numerical factors in quantum mechanics and representation theory that describe how to combine two angular momenta (or group representations) into a single resultant one.
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D.
Wigner–Eckart theorem
The Wigner–Eckart theorem is a fundamental result in quantum mechanics that factorizes matrix elements of tensor operators into a reduced matrix element and a purely geometric part given by Clebsch–Gordan coefficients, greatly simplifying angular momentum calculations.
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E.
Racah polynomials
Racah polynomials are a family of classical orthogonal polynomials that arise in the representation theory of angular momentum and in the study of exactly solvable models in mathematical physics.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Wigner 9-j symbols Target entity description: Wigner 9-j symbols are mathematical coefficients used in quantum mechanics and angular momentum theory to describe the coupling of three angular momenta and recoupling transformations.
-
A.
Wigner 6-j symbols
Wigner 6-j symbols are mathematical coefficients in quantum angular momentum theory that encode the recoupling of three angular momenta and play a central role in Racah algebra and the representation theory of rotation groups.
-
B.
Wigner 3j symbols
Wigner 3j symbols are mathematical coefficients used in quantum mechanics and angular momentum theory to describe the coupling and recoupling of three angular momenta with well-defined symmetry properties.
-
C.
Clebsch–Gordan coefficients
Clebsch–Gordan coefficients are numerical factors in quantum mechanics and representation theory that describe how to combine two angular momenta (or group representations) into a single resultant one.
-
D.
Wigner–Eckart theorem
The Wigner–Eckart theorem is a fundamental result in quantum mechanics that factorizes matrix elements of tensor operators into a reduced matrix element and a purely geometric part given by Clebsch–Gordan coefficients, greatly simplifying angular momentum calculations.
-
E.
Racah polynomials
Racah polynomials are a family of classical orthogonal polynomials that arise in the representation theory of angular momentum and in the study of exactly solvable models in mathematical physics.
- F. None of above. chosen
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Wigner 9-j symbols