Feynman checkerboard model
E3528
discrete-time path integral
lattice model
model in quantum field theory
model in theoretical physics
path integral formulation
quantum mechanical model
The Feynman checkerboard model is a path-integral-based lattice model introduced by Richard Feynman to illustrate and derive the behavior of relativistic quantum particles, particularly the Dirac equation in one spatial dimension.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Feynman checkerboard model canonical | 1 |
| Feynman chessboard model | 1 |
| Feynman path integral on a lattice | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T26868 — 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: Feynman checkerboard model Context triple: [Richard Feynman, knownFor, Feynman checkerboard model]
-
A.
Feynman diagrams
Feynman diagrams are graphical representations used in quantum field theory to visualize and calculate particle interactions and processes.
-
B.
Feynman–Kac formula
The Feynman–Kac formula is a fundamental result connecting solutions of certain partial differential equations with expectations over stochastic processes, forming a bridge between quantum mechanics, probability theory, and mathematical finance.
-
C.
Feynman Lectures on Physics
Feynman Lectures on Physics is a renowned three-volume introductory physics textbook based on Richard Feynman’s legendary Caltech lectures, celebrated for its clarity, depth, and engaging style.
-
D.
Brownian motion
Brownian motion is the random, jittery movement of microscopic particles suspended in a fluid, whose explanation provided key evidence for the existence of atoms and the molecular nature of matter.
-
E.
Feynman–Hellmann theorem
The Feynman–Hellmann theorem is a result in quantum mechanics that relates the derivative of an energy eigenvalue with respect to a parameter in the Hamiltonian to the expectation value of the corresponding derivative of the Hamiltonian.
- 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: Feynman checkerboard model Target entity description: The Feynman checkerboard model is a path-integral-based lattice model introduced by Richard Feynman to illustrate and derive the behavior of relativistic quantum particles, particularly the Dirac equation in one spatial dimension.
-
A.
Feynman diagrams
Feynman diagrams are graphical representations used in quantum field theory to visualize and calculate particle interactions and processes.
-
B.
Feynman–Kac formula
The Feynman–Kac formula is a fundamental result connecting solutions of certain partial differential equations with expectations over stochastic processes, forming a bridge between quantum mechanics, probability theory, and mathematical finance.
-
C.
Feynman Lectures on Physics
Feynman Lectures on Physics is a renowned three-volume introductory physics textbook based on Richard Feynman’s legendary Caltech lectures, celebrated for its clarity, depth, and engaging style.
-
D.
Brownian motion
Brownian motion is the random, jittery movement of microscopic particles suspended in a fluid, whose explanation provided key evidence for the existence of atoms and the molecular nature of matter.
-
E.
Feynman–Hellmann theorem
The Feynman–Hellmann theorem is a result in quantum mechanics that relates the derivative of an energy eigenvalue with respect to a parameter in the Hamiltonian to the expectation value of the corresponding derivative of the Hamiltonian.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
discrete-time path integral
ⓘ
lattice model ⓘ model in quantum field theory ⓘ model in theoretical physics ⓘ path integral formulation ⓘ quantum mechanical model ⓘ |
| aimsToExplain |
connection between relativistic motion and spinor structure
ⓘ
emergence of the Dirac equation from discrete paths ⓘ |
| alsoKnownAs |
Feynman checkerboard model
ⓘ
surface form:
Feynman chessboard model
Feynman checkerboard model ⓘ
surface form:
Feynman path integral on a lattice
|
| appliesTo | Dirac particle in one spatial dimension ⓘ |
| assumes |
discrete spacetime lattice with lightlike links
ⓘ
particle moves only left or right at each time step ⓘ |
| basedOn | path integral formulation of quantum mechanics ⓘ |
| category |
Feynman diagrams and path integrals
ⓘ
lattice quantum field theory models ⓘ |
| coreMechanism | assigning amplitudes to corners where direction changes ⓘ |
| creator | Richard Feynman ⓘ |
| describes | relativistic quantum particle in 1+1 dimensions ⓘ |
| dimension | 1+1 ⓘ |
| field |
lattice field theory
ⓘ
mathematical physics ⓘ quantum field theory ⓘ quantum mechanics ⓘ relativistic quantum mechanics ⓘ |
| historicalContext | introduced in the context of path integrals for relativistic particles ⓘ |
| illustrates |
how spin-1/2 behavior can emerge from path sums
ⓘ
relativistic propagation at the speed of light with direction reversals ⓘ |
| influenced |
discrete models of relativistic quantum mechanics
ⓘ
later work on quantum walks ⓘ |
| limitBehavior | continuum limit reproduces the Dirac propagator in 1+1 dimensions ⓘ |
| mathematicalRepresentation | sum over lattice paths with complex weights ⓘ |
| pedagogicalUse |
teaching path integrals
ⓘ
teaching the Dirac equation in low dimensions ⓘ |
| relatedTo |
Dirac equation
ⓘ
Feynman path integral ⓘ Dirac equation ⓘ
surface form:
Weyl equation in 1+1 dimensions
discrete-time quantum walk ⓘ lattice Dirac fermions ⓘ sum-over-paths approach ⓘ |
| spatialDimension | 1 ⓘ |
| temporalDimension | 1 ⓘ |
| usedFor | derivation of the 1+1 dimensional Dirac equation ⓘ |
| usesConcept |
amplitudes associated with corners in paths
ⓘ
lattice discretization of spacetime ⓘ lightlike lattice paths ⓘ sum over histories ⓘ zigzag paths at speed of light ⓘ |
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: Feynman checkerboard model Description of subject: The Feynman checkerboard model is a path-integral-based lattice model introduced by Richard Feynman to illustrate and derive the behavior of relativistic quantum particles, particularly the Dirac equation in one spatial dimension.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Feynman chessboard model
this entity surface form:
Feynman path integral on a lattice