Triple
T4537321
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | matrix mechanics |
E107437
|
entity |
| Predicate | relatedConcept |
P37
|
FINISHED |
| Object |
Heisenberg matrix
A Heisenberg matrix is the operator-based representation of quantum observables used in Heisenberg’s formulation of matrix mechanics.
|
E119324
|
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: Heisenberg matrix | Statement: [matrix mechanics, relatedConcept, Heisenberg matrix]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Heisenberg matrix Context triple: [matrix mechanics, relatedConcept, Heisenberg matrix]
-
A.
Pauli matrices
Pauli matrices are a set of three 2×2 complex Hermitian and unitary matrices that form a basis for the Lie algebra su(2) and are fundamental in describing spin-½ particles in quantum mechanics.
-
B.
Gell-Mann matrices
Gell-Mann matrices are a set of eight 3×3 traceless Hermitian matrices that serve as the generators of the SU(3) Lie algebra in quantum chromodynamics and other areas of particle physics.
-
C.
Dirac matrices
Dirac matrices are a set of matrices used in relativistic quantum mechanics to represent spin-½ particles and encode the algebra of the Dirac equation.
-
D.
Heisenberg operator formulation of quantum mechanics
The Heisenberg operator formulation of quantum mechanics is a foundational approach in which observables evolve in time as operators while states remain fixed, providing a mathematically equivalent description to other formulations such as Schrödinger’s and the path integral.
-
E.
matrix mechanics
Matrix mechanics is an early formulation of quantum mechanics that represents physical observables as matrices and describes their time evolution through noncommutative algebra.
- 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: Heisenberg matrix Triple: [matrix mechanics, relatedConcept, Heisenberg matrix]
Generated description
A Heisenberg matrix is the operator-based representation of quantum observables used in Heisenberg’s formulation of matrix mechanics.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Heisenberg matrix Target entity description: A Heisenberg matrix is the operator-based representation of quantum observables used in Heisenberg’s formulation of matrix mechanics.
-
A.
Pauli matrices
Pauli matrices are a set of three 2×2 complex Hermitian and unitary matrices that form a basis for the Lie algebra su(2) and are fundamental in describing spin-½ particles in quantum mechanics.
-
B.
Gell-Mann matrices
Gell-Mann matrices are a set of eight 3×3 traceless Hermitian matrices that serve as the generators of the SU(3) Lie algebra in quantum chromodynamics and other areas of particle physics.
-
C.
Dirac matrices
Dirac matrices are a set of matrices used in relativistic quantum mechanics to represent spin-½ particles and encode the algebra of the Dirac equation.
-
D.
Heisenberg operator formulation of quantum mechanics
chosen
The Heisenberg operator formulation of quantum mechanics is a foundational approach in which observables evolve in time as operators while states remain fixed, providing a mathematically equivalent description to other formulations such as Schrödinger’s and the path integral.
-
E.
matrix mechanics
Matrix mechanics is an early formulation of quantum mechanics that represents physical observables as matrices and describes their time evolution through noncommutative algebra.
- F. None of above.
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_69bd43f922788190b7edfa294e39b178 |
completed | March 20, 2026, 12:56 p.m. |
| NER | Named-entity recognition | batch_69bd57b78b8481909d79131723d4be22 |
completed | March 20, 2026, 2:20 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69bdacfb2ba48190b7f1b23785e9d030 |
completed | March 20, 2026, 8:24 p.m. |
| NEDg | Description generation | batch_69bdaf867740819090367e5ebd37b4d4 |
completed | March 20, 2026, 8:35 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69bdafeb5e0881909d4ee62b066dee91 |
completed | March 20, 2026, 8:36 p.m. |
Created at: March 20, 2026, 1:04 p.m.