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feat: Time order for CrAnAlgebra

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Also remove StateAlgebra
This commit is contained in:
jstoobysmith 2025-01-27 11:12:48 +00:00
parent 3abc31af98
commit 21f81a9331
19 changed files with 493 additions and 290 deletions
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HepLean/PerturbationTheory/WickContraction/TimeContract.lean
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@ -88,7 +88,7 @@ lemma timeConract_insertAndContract_some_eq_mul_contractStateAtIndex_lt
· simp only [hik, ↓reduceIte, MulMemClass.coe_mul]
rw [𝓞.timeContract_of_timeOrderRel]
trans (1 : ℂ) • (𝓞.crAnF ((CrAnAlgebra.superCommute
(CrAnAlgebra.anPart (StateAlgebra.ofState φ))) (CrAnAlgebra.ofState φs[k.1])) *
(CrAnAlgebra.anPart φ)) (CrAnAlgebra.ofState φs[k.1])) *
↑(timeContract 𝓞 φsΛ))
· simp
simp only [smul_smul]