Triple
T15562308
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Lippmann–Schwinger equation |
E371027
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object | S-matrix |
E9111
|
NE FINISHED |
How this triple was built (2 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: S-matrix | Statement: [Lippmann–Schwinger equation, relatedTo, S-matrix]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: S-matrix Context triple: [Lippmann–Schwinger equation, relatedTo, S-matrix]
-
A.
S-matrix
chosen
The S-matrix (scattering matrix) is a fundamental construct in quantum field theory that encodes the probabilities for transitions between initial and final particle states in scattering processes.
-
B.
R-matrix
The R-matrix is a fundamental operator in integrable systems and quantum groups that encodes particle scattering and algebraic symmetries by providing solutions to the Yang–Baxter equation.
-
C.
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.
-
D.
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.
-
E.
Bethe–Salpeter equation
The Bethe–Salpeter equation is a relativistic quantum field theory equation that describes bound states of two interacting particles, such as electron–hole pairs in quantum electrodynamics.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Provenance (3 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_69d85cc6cf40819091f4a5facee1ebe6 |
completed | April 10, 2026, 2:13 a.m. |
| NER | Named-entity recognition | batch_69e04ddc66448190948280fb0c8d390c |
completed | April 16, 2026, 2:47 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69ff456821988190971539b683f6c656 |
completed | May 9, 2026, 2:32 p.m. |
Created at: April 10, 2026, 4:09 a.m.