Triple

T5212127
Position Surface form Disambiguated ID Type / Status
Subject Weyl quantization E117657 entity
Predicate relatedTo P37 FINISHED
Object Moyal product
The Moyal product is a noncommutative star product used in deformation quantization to encode quantum mechanical operator multiplication directly on phase-space functions.
E503520 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
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).
Input
Phrase: Moyal product | Statement: [Weyl quantization, relatedTo, Moyal product]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Moyal product
Context triple: [Weyl quantization, relatedTo, Moyal product]
  • A. Moyal bracket
    The Moyal bracket is a mathematical operation in phase-space quantum mechanics that generalizes the classical Poisson bracket to describe quantum corrections in the evolution of quasiprobability distributions.
  • B. Hadamard product (of power series)
    The Hadamard product (of power series) is an operation that forms a new power series by multiplying the corresponding coefficients of two given power series term by term.
  • C. Weyl algebra
    The Weyl algebra is a fundamental noncommutative algebra generated by position and momentum operators satisfying canonical commutation relations, central in quantum mechanics and representation theory.
  • D. Weyl quantization
    Weyl quantization is a mathematical procedure in quantum mechanics that systematically associates classical observables with quantum operators in a symmetric and coordinate-independent way.
  • E. Wick’s theorem
    Wick’s theorem is a fundamental result in quantum field theory that expresses time-ordered products of field operators as sums of normal-ordered products with all possible contractions, forming the basis for deriving Feynman rules and diagrammatic expansions.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Moyal product
Triple: [Weyl quantization, relatedTo, Moyal product]
Generated description
The Moyal product is a noncommutative star product used in deformation quantization to encode quantum mechanical operator multiplication directly on phase-space functions.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Moyal product
Target entity description: The Moyal product is a noncommutative star product used in deformation quantization to encode quantum mechanical operator multiplication directly on phase-space functions.
  • A. Moyal bracket
    The Moyal bracket is a mathematical operation in phase-space quantum mechanics that generalizes the classical Poisson bracket to describe quantum corrections in the evolution of quasiprobability distributions.
  • B. Hadamard product (of power series)
    The Hadamard product (of power series) is an operation that forms a new power series by multiplying the corresponding coefficients of two given power series term by term.
  • C. Weyl algebra
    The Weyl algebra is a fundamental noncommutative algebra generated by position and momentum operators satisfying canonical commutation relations, central in quantum mechanics and representation theory.
  • D. Weyl quantization
    Weyl quantization is a mathematical procedure in quantum mechanics that systematically associates classical observables with quantum operators in a symmetric and coordinate-independent way.
  • E. Wick’s theorem
    Wick’s theorem is a fundamental result in quantum field theory that expresses time-ordered products of field operators as sums of normal-ordered products with all possible contractions, forming the basis for deriving Feynman rules and diagrammatic expansions.
  • F. None of above. chosen

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69bd4464ba3c8190bc16b2ebbe42ddb0 completed March 20, 2026, 12:58 p.m.
NER Named-entity recognition batch_69bd7a730e6c8190ae6082da41ee592a completed March 20, 2026, 4:48 p.m.
NED1 Entity disambiguation (via context triple) batch_69beefdee940819098e397ab50f57411 completed March 21, 2026, 7:22 p.m.
NEDg Description generation batch_69bef0b1fe9c8190bfc1be621c7c1c76 completed March 21, 2026, 7:25 p.m.
NED2 Entity disambiguation (via description) batch_69bef16739148190b9700228be7d07f9 completed March 21, 2026, 7:28 p.m.
Created at: March 20, 2026, 1:47 p.m.