Triple

T20593784
Position Surface form Disambiguated ID Type / Status
Subject Dirac Hamiltonian E505997 entity
Predicate instanceOf P0 FINISHED
Object quantum mechanical 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: quantum mechanical operator
Context triple: [Dirac Hamiltonian, instanceOf, quantum mechanical 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. 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.
  • C. operator
    An operator is an entity (such as a person, device, or function) that performs, controls, or transforms actions or data within a system.
  • D. 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.
  • E. quantum mechanical concept
    A quantum mechanical concept is an abstract idea or principle that describes the behavior, properties, or interactions of physical systems at atomic and subatomic scales, where phenomena are governed by the rules of quantum theory rather than classical physics.
  • 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.