Triple
T1565471
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Brillouin–Wigner perturbation theory |
E33422
|
entity |
| Predicate | relatedTo |
P37
|
FINISHED |
| Object |
Feshbach projection formalism
The Feshbach projection formalism is a quantum mechanical method that partitions a system’s Hilbert space into subspaces to derive effective Hamiltonians and describe interactions with continua or eliminated degrees of freedom.
|
E177025
|
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: Feshbach projection formalism | Statement: [Brillouin–Wigner perturbation theory, relatedTo, Feshbach projection formalism]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Feshbach projection formalism Context triple: [Brillouin–Wigner perturbation theory, relatedTo, Feshbach projection formalism]
-
A.
Brillouin–Wigner perturbation theory
Brillouin–Wigner perturbation theory is a formulation of quantum mechanical perturbation theory that uses an energy-dependent effective Hamiltonian to obtain improved approximations to eigenvalues and eigenstates.
-
B.
Gross–Pitaevskii equation
The Gross–Pitaevskii equation is a nonlinear Schrödinger-type equation that describes the macroscopic wavefunction and dynamics of weakly interacting Bose gases at ultra-cold temperatures.
-
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.
Herzberg–Teller approximation
The Herzberg–Teller approximation is a refinement in molecular spectroscopy that accounts for vibronic coupling by allowing electronic transition dipole moments to depend on nuclear coordinates, explaining intensity in otherwise forbidden transitions.
-
E.
Bose–Einstein condensate
A Bose–Einstein condensate is an exotic state of matter formed when a dilute gas of bosons is cooled to temperatures near absolute zero, causing a large fraction of the particles to occupy the same quantum state and behave as a single quantum entity.
- 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: Feshbach projection formalism Triple: [Brillouin–Wigner perturbation theory, relatedTo, Feshbach projection formalism]
Generated description
The Feshbach projection formalism is a quantum mechanical method that partitions a system’s Hilbert space into subspaces to derive effective Hamiltonians and describe interactions with continua or eliminated degrees of freedom.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Feshbach projection formalism Target entity description: The Feshbach projection formalism is a quantum mechanical method that partitions a system’s Hilbert space into subspaces to derive effective Hamiltonians and describe interactions with continua or eliminated degrees of freedom.
-
A.
Brillouin–Wigner perturbation theory
Brillouin–Wigner perturbation theory is a formulation of quantum mechanical perturbation theory that uses an energy-dependent effective Hamiltonian to obtain improved approximations to eigenvalues and eigenstates.
-
B.
Gross–Pitaevskii equation
The Gross–Pitaevskii equation is a nonlinear Schrödinger-type equation that describes the macroscopic wavefunction and dynamics of weakly interacting Bose gases at ultra-cold temperatures.
-
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.
Herzberg–Teller approximation
The Herzberg–Teller approximation is a refinement in molecular spectroscopy that accounts for vibronic coupling by allowing electronic transition dipole moments to depend on nuclear coordinates, explaining intensity in otherwise forbidden transitions.
-
E.
Bose–Einstein condensate
A Bose–Einstein condensate is an exotic state of matter formed when a dilute gas of bosons is cooled to temperatures near absolute zero, causing a large fraction of the particles to occupy the same quantum state and behave as a single quantum entity.
- 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_69a885f11b048190935025a035302715 |
completed | March 4, 2026, 7:20 p.m. |
| NER | Named-entity recognition | batch_69aa621242188190a7e1deeada7688d8 |
completed | March 6, 2026, 5:11 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69ad3719dfdc819085511f96f9f92dba |
completed | March 8, 2026, 8:45 a.m. |
| NEDg | Description generation | batch_69ad37d59e94819085504ea25dfa8311 |
completed | March 8, 2026, 8:48 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69ad382b126c8190a308415bd6c4264b |
completed | March 8, 2026, 8:49 a.m. |
Created at: March 4, 2026, 7:27 p.m.