Hylleraas coordinates
E1576217
UNEXPLORED
Hylleraas coordinates are a specialized set of variables used in quantum mechanical calculations of two-electron atoms to more accurately account for electron–electron correlation.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Hylleraas coordinates canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T23230835 — 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: Hylleraas coordinates Context triple: [Egil A. Hylleraas, knownFor, Hylleraas coordinates]
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A.
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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B.
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.
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C.
Clebsch
Clebsch is a German surname most notably associated with mathematician Alfred Clebsch, known for his contributions to algebraic geometry and invariant theory.
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D.
Slater determinant
A Slater determinant is an antisymmetrized many-electron wavefunction constructed from single-particle orbitals that enforces the Pauli exclusion principle in quantum chemistry and atomic physics.
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E.
Plücker coordinates
Plücker coordinates are a system of homogeneous coordinates used in projective geometry to represent lines (and other subspaces) in higher-dimensional spaces.
- 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: Hylleraas coordinates Target entity description: Hylleraas coordinates are a specialized set of variables used in quantum mechanical calculations of two-electron atoms to more accurately account for electron–electron correlation.
-
A.
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.
-
B.
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.
-
C.
Clebsch
Clebsch is a German surname most notably associated with mathematician Alfred Clebsch, known for his contributions to algebraic geometry and invariant theory.
-
D.
Slater determinant
A Slater determinant is an antisymmetrized many-electron wavefunction constructed from single-particle orbitals that enforces the Pauli exclusion principle in quantum chemistry and atomic physics.
-
E.
Plücker coordinates
Plücker coordinates are a system of homogeneous coordinates used in projective geometry to represent lines (and other subspaces) in higher-dimensional spaces.
- F. None of above. chosen
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.