Triple
T990118
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hermann Weyl |
E21368
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Gruppentheorie und Quantenmechanik
Gruppentheorie und Quantenmechanik is Hermann Weyl’s influential 1928 monograph that systematically applies group theory to the foundations of quantum mechanics, shaping the mathematical formulation of modern physics.
|
E117652
|
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: Gruppentheorie und Quantenmechanik | Statement: [Hermann Weyl, notableWork, Gruppentheorie und Quantenmechanik]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Gruppentheorie und Quantenmechanik Context triple: [Hermann Weyl, notableWork, Gruppentheorie und Quantenmechanik]
-
A.
Mathematical Foundations of Quantum Mechanics
Mathematical Foundations of Quantum Mechanics is John von Neumann’s landmark 1932 treatise that rigorously formulates quantum theory using functional analysis and operator theory on Hilbert spaces.
-
B.
Vorlesungen über Atommechanik
Vorlesungen über Atommechanik is a foundational early 20th-century textbook on quantum theory and atomic mechanics written by physicist Max Born.
-
C.
Wigner’s theorem on symmetry transformations
Wigner’s theorem on symmetry transformations is a fundamental result in quantum mechanics stating that any symmetry of transition probabilities is represented by either a unitary or antiunitary operator on the system’s Hilbert space.
-
D.
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.
-
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: Gruppentheorie und Quantenmechanik Triple: [Hermann Weyl, notableWork, Gruppentheorie und Quantenmechanik]
Generated description
Gruppentheorie und Quantenmechanik is Hermann Weyl’s influential 1928 monograph that systematically applies group theory to the foundations of quantum mechanics, shaping the mathematical formulation of modern physics.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Gruppentheorie und Quantenmechanik Target entity description: Gruppentheorie und Quantenmechanik is Hermann Weyl’s influential 1928 monograph that systematically applies group theory to the foundations of quantum mechanics, shaping the mathematical formulation of modern physics.
-
A.
Mathematical Foundations of Quantum Mechanics
Mathematical Foundations of Quantum Mechanics is John von Neumann’s landmark 1932 treatise that rigorously formulates quantum theory using functional analysis and operator theory on Hilbert spaces.
-
B.
Vorlesungen über Atommechanik
Vorlesungen über Atommechanik is a foundational early 20th-century textbook on quantum theory and atomic mechanics written by physicist Max Born.
-
C.
Wigner’s theorem on symmetry transformations
Wigner’s theorem on symmetry transformations is a fundamental result in quantum mechanics stating that any symmetry of transition probabilities is represented by either a unitary or antiunitary operator on the system’s Hilbert space.
-
D.
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.
-
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
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_69a493c383dc8190a03257f22d4b4183 |
completed | March 1, 2026, 7:30 p.m. |
| NER | Named-entity recognition | batch_69a4b4ac27e081908f132115464667b2 |
completed | March 1, 2026, 9:50 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69ac258d9f4c8190b285455410b30575 |
completed | March 7, 2026, 1:18 p.m. |
| NEDg | Description generation | batch_69ac267e4fa08190895fa6809d0decb8 |
completed | March 7, 2026, 1:22 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69ac271c8ad081909c1f1629e0793c40 |
completed | March 7, 2026, 1:24 p.m. |
Created at: March 1, 2026, 7:41 p.m.