Fock model
E860125
The Fock model is a realization of certain group representations on a Fock space of quantum states, widely used in mathematical physics and representation theory to study structures like the Weil representation.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Fock space | 2 |
| Fock metric | 1 |
| Fock model canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T10389308 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Fock model Context triple: [Weil representation, constructedVia, Fock model]
-
A.
Fock
Fock is a Swedish surname associated with several notable historical figures and families in Sweden.
-
B.
Ehrenfest model
The Ehrenfest model is a classic probabilistic model in statistical mechanics that illustrates the approach to equilibrium and fluctuations in a gas by tracking particles randomly moving between two containers.
-
C.
Lieb–Liniger model
The Lieb–Liniger model is an exactly solvable quantum many-body system describing one-dimensional bosons with delta-function interactions, fundamental in the study of integrable systems and quantum gases.
-
D.
Sakata model
The Sakata model is an early composite model of hadrons that proposed protons, neutrons, and lambda particles as fundamental building blocks, anticipating key ideas later formalized in the quark model.
-
E.
Faddeev’s axioms
Faddeev’s axioms are a set of conditions characterizing Shannon entropy in information theory, providing an alternative but equivalent axiomatization to the Shannon–Khinchin framework.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Fock model Target entity description: The Fock model is a realization of certain group representations on a Fock space of quantum states, widely used in mathematical physics and representation theory to study structures like the Weil representation.
-
A.
Fock
Fock is a Swedish surname associated with several notable historical figures and families in Sweden.
-
B.
Ehrenfest model
The Ehrenfest model is a classic probabilistic model in statistical mechanics that illustrates the approach to equilibrium and fluctuations in a gas by tracking particles randomly moving between two containers.
-
C.
Lieb–Liniger model
The Lieb–Liniger model is an exactly solvable quantum many-body system describing one-dimensional bosons with delta-function interactions, fundamental in the study of integrable systems and quantum gases.
-
D.
Sakata model
The Sakata model is an early composite model of hadrons that proposed protons, neutrons, and lambda particles as fundamental building blocks, anticipating key ideas later formalized in the quark model.
-
E.
Faddeev’s axioms
Faddeev’s axioms are a set of conditions characterizing Shannon entropy in information theory, providing an alternative but equivalent axiomatization to the Shannon–Khinchin framework.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
mathematical construction
ⓘ
realization of group representation ⓘ representation-theoretic model ⓘ |
| appliesTo |
group representations
ⓘ
oscillator representations ⓘ unitary representations ⓘ |
| associatedWith |
Heisenberg group
ⓘ
linked to:
Heisenberg Lie algebra
metaplectic group ⓘ oscillator representation ⓘ symplectic group ⓘ
linked to:
symplectic group Sp(2n,R)
|
| basedOn | quantum states ⓘ |
| constructionMethod |
canonical commutation relations
ⓘ
creation and annihilation operators ⓘ holomorphic realization ⓘ |
| contrastedWith |
Schrödinger model
ⓘ
linked to:
Schrödinger formulation of quantum mechanics
|
| dependsOn |
complex structure on phase space
ⓘ
symplectic vector space ⓘ |
| field |
mathematical physics
ⓘ
representation theory ⓘ |
| formalism |
Hilbert space formalism
ⓘ
operator formalism ⓘ |
| generalizationOf |
Schrödinger model of the Weil representation
ⓘ
linked to:
Weil representation
|
| hasProperty |
graded by particle number
ⓘ
lowest weight representation structure ⓘ unitary action of groups ⓘ |
| mathematicalArea |
functional analysis
ⓘ
operator algebras ⓘ |
| realizedOn |
Hilbert space
ⓘ
bosonic Fock space ⓘ space of holomorphic functions ⓘ space of square-integrable holomorphic functions ⓘ |
| relatedConcept |
Bargmann–Fock space
ⓘ
Segal–Bargmann space ⓘ coherent states ⓘ holomorphic discrete series ⓘ |
| relatedTo | Weil representation ⓘ |
| underlies | second quantization formalism ⓘ |
| usedFor |
constructing explicit models of representations
ⓘ
geometric representation theory ⓘ harmonic analysis on groups ⓘ quantization ⓘ realizing Weil representation ⓘ studying Weil representation ⓘ |
| usedIn |
quantum field theory
ⓘ
quantum harmonic oscillator ⓘ theory of automorphic forms ⓘ theta correspondence ⓘ |
| uses | Fock space ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Fock model Description of subject: The Fock model is a realization of certain group representations on a Fock space of quantum states, widely used in mathematical physics and representation theory to study structures like the Weil representation.
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject linked to:
Valery Fock (posthumous recognition context)
linked to: Fock model
linked to: Fock model
linked to: Fock model