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.

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All labels observed (3)

Label	Occurrences
Feynman checkerboard model canonical	1
Feynman chessboard model	1
Feynman path integral on a lattice	1

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 ⓘ

Referenced by (3)

Full triples — surface form annotated when it differs from this entity's canonical label.

Richard Feynman → knownFor → Feynman checkerboard model ⓘ

Feynman checkerboard model → alsoKnownAs → Feynman checkerboard model ⓘ

this entity surface form: Feynman chessboard model

Feynman checkerboard model → alsoKnownAs → Feynman checkerboard model ⓘ

this entity surface form: Feynman path integral on a lattice