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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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5
HepLean/PerturbationTheory/WickContraction/Involutions.lean
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@ -3,10 +3,7 @@ Copyright (c) 2025 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
import HepLean.PerturbationTheory.WickContraction.Uncontracted
import HepLean.PerturbationTheory.Algebras.StateAlgebra.TimeOrder
import HepLean.PerturbationTheory.Algebras.ProtoOperatorAlgebra.TimeContraction
import HepLean.PerturbationTheory.WickContraction.InsertAndContract
import HepLean.PerturbationTheory.WickContraction.Basic
/-!
# Involution associated with a contraction

1
HepLean/PerturbationTheory/WickContraction/IsFull.lean
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@ -4,6 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
import HepLean.Mathematics.Fin.Involutions
import HepLean.PerturbationTheory.WickContraction.ExtractEquiv
import HepLean.PerturbationTheory.WickContraction.Involutions
/-!

2
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]