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feat: Static Wick theorem

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jstoobysmith 2025-01-30 12:45:00 +00:00
parent c421746f4b
commit 9372410fbc
7 changed files with 240 additions and 0 deletions
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7
HepLean/PerturbationTheory/Algebras/FieldOpAlgebra/NormalOrder.lean
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@ -249,6 +249,13 @@ lemma normalOrder_ofCrAnFieldOpList (φs : List 𝓕.CrAnStates) :
rw [ofCrAnFieldOpList, normalOrder_eq_ι_normalOrderF, normalOrderF_ofCrAnList]
rfl
@[simp]
lemma normalOrder_one_eq_one : normalOrder (𝓕 := 𝓕) 1 = 1 := by
have h1 : 1 = ofCrAnFieldOpList (𝓕 := 𝓕) [] := by simp [ofCrAnFieldOpList]
rw [h1]
rw [normalOrder_ofCrAnFieldOpList]
simp
lemma ofCrAnFieldOpList_eq_normalOrder (φs : List 𝓕.CrAnStates) :
ofCrAnFieldOpList (normalOrderList φs) = normalOrderSign φs • 𝓝(ofCrAnFieldOpList φs) := by
rw [normalOrder_ofCrAnFieldOpList, smul_smul, normalOrderSign, Wick.koszulSign_mul_self,