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Wick's theorem

Wick's theorem is a method of reducing high-order derivatives to a combinatorics problem. It is named after Italian physicist Gian Carlo Wick. It is used extensively in quantum field theory to reduce arbitrary products of creation and annihilation operators to sums of products of pairs of these operators. This allows for the use of Green's function…

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Wick's theorem applied to fields

C-numberS-matrixVacuum stateMomentsGaussian distribution
8 related topics

Overview

OrderDerivativesCombinatoricsGian Carlo WickQuantum field theory
13 related topics

Examples

BosonicCommutation relationsCommutator
3 related topics

Definition of contraction

Kronecker delta
1 related topics

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Definition of contraction

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Wick's theorem applied to fields

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Wick's theorem

Nodes30
Edges29
Triples18
Avg. degree1.93
Density0.066667
Components1

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Wick's theorem

Top relations

related to Proof · 8
Wick's theorem → By Wick's, In, Induction, N-1, Nth, Suppose, The, Wick's
related to Examples · 5
Wick's theorem → Before, Suppose, This, We, Wick's
related to Example 3 · 4
Wick's theorem → By, In, It, Luckily Wick's
is a · 1
Wick's theorem → method of reducing high-order derivatives to a combinatorics problem

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displaystyle theorem hat operators wick's annihilation creation terms operator normal field contraction theory contractions ldots products dagger ordered used quantum

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SubjectPredicateObjectConfidenceSrc
Wick's theoremis amethod of reducing high-order derivatives to a combinatorics problem0.90text
Wick's theoremrelated to Example 3In0.60section
Wick's theoremrelated to Example 3By0.60section
Wick's theoremrelated to Example 3It0.60section
Wick's theoremrelated to Example 3Luckily Wick's0.60section
Wick's theoremrelated to ExamplesWe0.60section
Wick's theoremrelated to ExamplesThis0.60section
Wick's theoremrelated to ExamplesWick's0.60section
Wick's theoremrelated to ExamplesBefore0.60section
Wick's theoremrelated to ExamplesSuppose0.60section
Wick's theoremrelated to ProofInduction0.60section
Wick's theoremrelated to ProofThe0.60section

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