Triple
T25725751
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Fock matrix |
E645111
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | one-electron Hamiltonian |
C50707
|
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: one-electron Hamiltonian Context triple: [Fock matrix, instanceOf, one-electron Hamiltonian]
-
A.
relativistic Hamiltonian
A relativistic Hamiltonian is an energy operator or function in classical or quantum mechanics that generates time evolution while consistently incorporating the principles of special relativity, typically ensuring Lorentz invariance and relativistic energy-momentum relations.
-
B.
LS coupling
LS coupling is an atomic coupling scheme in which individual electron orbital angular momenta combine to form a total orbital angular momentum L, individual spins combine to form a total spin S, and these then couple to give the total angular momentum J of the atom.
-
C.
screened Coulomb potential
A screened Coulomb potential is a modified Coulomb interaction where the effective charge is reduced with distance, typically modeled by an exponential decay factor that accounts for the presence of a medium or charge carriers that shield the interaction.
-
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.
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. chosen
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_69e77e8476fc8190bd5e9d05b89fad0a |
completed | April 21, 2026, 1:41 p.m. |
Created at: April 21, 2026, 10:28 p.m.