Triple
T4461614
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Wigner distribution function |
E98266
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object |
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.
|
E443157
|
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 bracket | Statement: [Wigner distribution function, relatedTo, Moyal bracket]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Moyal bracket Context triple: [Wigner distribution function, relatedTo, Moyal bracket]
-
A.
Peierls bracket
The Peierls bracket is a covariant generalization of the Poisson bracket used in quantum field theory and classical field theory to define commutation relations in a way that respects spacetime causality.
-
B.
Jacobi bracket
The Jacobi bracket is a bilinear operation generalizing the Poisson bracket in differential geometry, central to the theory of Jacobi manifolds and Hamiltonian systems.
-
C.
Lie bracket
The Lie bracket is a bilinear, antisymmetric operation on a Lie algebra that measures the noncommutativity of its elements and encodes its infinitesimal structure.
-
D.
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.
-
E.
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.
- 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 bracket Triple: [Wigner distribution function, relatedTo, Moyal bracket]
Generated description
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.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Moyal bracket Target entity description: 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.
-
A.
Peierls bracket
The Peierls bracket is a covariant generalization of the Poisson bracket used in quantum field theory and classical field theory to define commutation relations in a way that respects spacetime causality.
-
B.
Jacobi bracket
The Jacobi bracket is a bilinear operation generalizing the Poisson bracket in differential geometry, central to the theory of Jacobi manifolds and Hamiltonian systems.
-
C.
Lie bracket
The Lie bracket is a bilinear, antisymmetric operation on a Lie algebra that measures the noncommutativity of its elements and encodes its infinitesimal structure.
-
D.
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.
-
E.
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.
- 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_69b3454a7c608190944f5455c8031d73 |
completed | March 12, 2026, 10:59 p.m. |
| NER | Named-entity recognition | batch_69b35674f718819089388c3924dd1414 |
completed | March 13, 2026, 12:12 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69b6284b90708190b557b66bd7533f4e |
completed | March 15, 2026, 3:32 a.m. |
| NEDg | Description generation | batch_69b629532cac8190b959adc0ef13305a |
completed | March 15, 2026, 3:36 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69b62d9c287c8190a305f9d21517f913 |
completed | March 15, 2026, 3:55 a.m. |
Created at: March 12, 2026, 11:34 p.m.