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.