Triple
T8454310
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Dirac delta function |
E199880
|
entity |
| Predicate | appearsIn |
P795
|
FINISHED |
| Object |
Schrödinger equation with point interactions
The Schrödinger equation with point interactions is a quantum-mechanical model in which particles interact via idealized zero-range potentials, typically represented mathematically by Dirac delta functions.
|
E735006
|
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: Schrödinger equation with point interactions | Statement: [Dirac delta function, appearsIn, Schrödinger equation with point interactions]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Schrödinger equation with point interactions Context triple: [Dirac delta function, appearsIn, Schrödinger equation with point interactions]
-
A.
Haag-Ruelle scattering theory
Haag-Ruelle scattering theory is a rigorous framework in quantum field theory that constructs and analyzes scattering states and S-matrix elements from local fields under mathematically precise conditions.
-
B.
Born approximation in scattering theory
The Born approximation in scattering theory is a perturbative method used in quantum mechanics to approximate scattering amplitudes by treating the interaction potential as a small perturbation to a free-particle wave.
-
C.
Rayleigh–Schrödinger perturbation theory
Rayleigh–Schrödinger perturbation theory is a fundamental method in quantum mechanics for approximating the energies and states of a system by treating interactions as small corrections to an exactly solvable problem.
-
D.
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.
-
E.
Lippmann–Schwinger equation
The Lippmann–Schwinger equation is an integral equation in quantum scattering theory that reformulates the Schrödinger equation to describe how incoming waves are transformed into scattered waves by a potential.
- 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: Schrödinger equation with point interactions Triple: [Dirac delta function, appearsIn, Schrödinger equation with point interactions]
Generated description
The Schrödinger equation with point interactions is a quantum-mechanical model in which particles interact via idealized zero-range potentials, typically represented mathematically by Dirac delta functions.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Schrödinger equation with point interactions Target entity description: The Schrödinger equation with point interactions is a quantum-mechanical model in which particles interact via idealized zero-range potentials, typically represented mathematically by Dirac delta functions.
-
A.
Haag-Ruelle scattering theory
Haag-Ruelle scattering theory is a rigorous framework in quantum field theory that constructs and analyzes scattering states and S-matrix elements from local fields under mathematically precise conditions.
-
B.
Born approximation in scattering theory
The Born approximation in scattering theory is a perturbative method used in quantum mechanics to approximate scattering amplitudes by treating the interaction potential as a small perturbation to a free-particle wave.
-
C.
Rayleigh–Schrödinger perturbation theory
Rayleigh–Schrödinger perturbation theory is a fundamental method in quantum mechanics for approximating the energies and states of a system by treating interactions as small corrections to an exactly solvable problem.
-
D.
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.
-
E.
Lippmann–Schwinger equation
The Lippmann–Schwinger equation is an integral equation in quantum scattering theory that reformulates the Schrödinger equation to describe how incoming waves are transformed into scattered waves by a potential.
- 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_69ca8318231881908fd1bc1c4d45d286 |
completed | March 30, 2026, 2:05 p.m. |
| NER | Named-entity recognition | batch_69cbe48ca9988190b60ebd09a135194d |
completed | March 31, 2026, 3:13 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69ce1dda289c81908e0cc8e1a504caa1 |
completed | April 2, 2026, 7:42 a.m. |
| NEDg | Description generation | batch_69ce1eddb9988190a77ab59f2867ad5d |
completed | April 2, 2026, 7:46 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69ce1fb9b03c819089976283e1c53ca5 |
completed | April 2, 2026, 7:50 a.m. |
Created at: March 30, 2026, 6:10 p.m.