Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Clebsch–Gordan coefficients | Statement: [Wigner–Eckart theorem, geometricPartGivenBy, Clebsch–Gordan coefficients]

Target entity: Clebsch–Gordan coefficients
Context triple: [Wigner–Eckart theorem, geometricPartGivenBy, Clebsch–Gordan coefficients]

• A. Clebsch–Gordan coefficients chosen
  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. 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.
• C. Clebsch representation
  The Clebsch representation is a mathematical formulation in fluid dynamics and vector calculus that expresses a three-dimensional vector field, particularly a velocity field, in terms of scalar potential functions.
• D. Racah algebra
  Racah algebra is a mathematical structure in representation theory and quantum mechanics that encodes the symmetries and coupling properties of angular momenta, particularly through Racah coefficients and related special functions.
• E. Schmidt decomposition
  The Schmidt decomposition is a mathematical technique in functional analysis and quantum information theory that expresses a bipartite vector (such as a quantum state) as a sum of orthogonal product states with nonnegative coefficients, revealing its entanglement structure.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: geometricPartGivenBy
Context triple: [Wigner–Eckart theorem, geometricPartGivenBy, Clebsch–Gordan coefficients]

• A. geometricFunction
  Indicates a relationship where one entity serves as a geometric transformation or operation that, when applied, produces or modifies another geometric entity.
• B. geometricInterpretation chosen
  Indicates a relationship where one entity provides or embodies a geometric meaning, representation, or visualization of another entity.
• C. partOfType
  Indicates that one entity represents a component, segment, or subset that belongs to or is included within the type or category represented by another entity.
• D. isGeometric
  Indicates that something has the properties or form of a geometric figure, pattern, or structure.
• E. hasPart
  Indicates that one entity is a component, segment, or constituent part of another entity.
• F. None of above.