Triple
T20593785
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Dirac Hamiltonian |
E505997
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | Hamiltonian operator |
C36563
|
CONCEPT FINISHED |
How this triple was built (1 step)
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.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: Hamiltonian operator Context triple: [Dirac Hamiltonian, instanceOf, Hamiltonian operator]
-
A.
Hilbert space operator
chosen
A Hilbert space operator is a linear transformation defined on a (subspace of a) Hilbert space that maps vectors to vectors in a way compatible with the space’s inner product structure, often studied via its continuity, boundedness, and spectral properties.
-
B.
Casimir operator
The Casimir operator is a distinguished element of the center of the universal enveloping algebra of a Lie algebra (or Lie group) that commutes with all generators and acts as a scalar on each irreducible representation, thereby classifying those representations.
-
C.
geometric operator
A geometric operator is a mathematical construct that acts on geometric objects (such as points, vectors, or shapes) to transform, relate, or measure them while respecting the underlying geometric structure.
-
D.
operator
An operator is an entity (such as a person, device, or function) that performs, controls, or transforms actions or data within a system.
-
E.
higher-derivative harmonic oscillator
A higher-derivative harmonic oscillator is a dynamical system whose Lagrangian or equations of motion include time derivatives of the coordinate beyond second order, leading to modified oscillatory behavior and often richer stability and spectral properties than the standard harmonic oscillator.
- F. None of above.
Provenance (1 batch)
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_69e0b4ba6ae88190af871e1f9522c704 |
completed | April 16, 2026, 10:06 a.m. |
Created at: April 16, 2026, 11:40 a.m.