Triple
T4721229
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Wigner Jenő Pál |
E104769
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra
"Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra" is a foundational monograph by Eugene Wigner that systematically applies group-theoretical methods to analyze the symmetries and energy levels of atomic systems in quantum mechanics.
|
E463101
|
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: Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra | Statement: [Wigner Jenő Pál, notableWork, Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra Context triple: [Wigner Jenő Pál, notableWork, Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra]
-
A.
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.
-
B.
Theory of Atomic Spectra (1935)
Theory of Atomic Spectra (1935) is a foundational physics monograph by Edward Condon that systematically develops the quantum-mechanical theory underlying atomic spectral lines and their structure.
-
C.
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.
-
D.
Herzberg trilogy on molecular spectra
The Herzberg trilogy on molecular spectra is a foundational multi-volume work that systematically presents the theory and experimental data of molecular spectroscopy, authored by Nobel laureate Gerhard Herzberg.
-
E.
Theory of Groups
Theory of Groups is a foundational textbook in abstract algebra that systematically develops the theory of groups and has been widely used for advanced mathematical study and research.
- 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: Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra Triple: [Wigner Jenő Pál, notableWork, Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra]
Generated description
"Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra" is a foundational monograph by Eugene Wigner that systematically applies group-theoretical methods to analyze the symmetries and energy levels of atomic systems in quantum mechanics.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra Target entity description: "Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra" is a foundational monograph by Eugene Wigner that systematically applies group-theoretical methods to analyze the symmetries and energy levels of atomic systems in quantum mechanics.
-
A.
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.
-
B.
Theory of Atomic Spectra (1935)
Theory of Atomic Spectra (1935) is a foundational physics monograph by Edward Condon that systematically develops the quantum-mechanical theory underlying atomic spectral lines and their structure.
-
C.
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.
-
D.
Herzberg trilogy on molecular spectra
The Herzberg trilogy on molecular spectra is a foundational multi-volume work that systematically presents the theory and experimental data of molecular spectroscopy, authored by Nobel laureate Gerhard Herzberg.
-
E.
Theory of Groups
Theory of Groups is a foundational textbook in abstract algebra that systematically develops the theory of groups and has been widely used for advanced mathematical study and research.
- 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_69bd43ec4a348190bc41afae43375e71 |
completed | March 20, 2026, 12:56 p.m. |
| NER | Named-entity recognition | batch_69bd642a1a808190afeefc9d65e6c539 |
completed | March 20, 2026, 3:13 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69be108fe3b08190b3d306ca4b39860d |
completed | March 21, 2026, 3:29 a.m. |
| NEDg | Description generation | batch_69be1182fee48190a01bd167a4adb21b |
completed | March 21, 2026, 3:33 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69be11e0922481909563dca0422f10d1 |
completed | March 21, 2026, 3:34 a.m. |
Created at: March 20, 2026, 1:18 p.m.