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.