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docs: Notes for normal-ordered Wicks

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jstoobysmith 2025-02-07 09:56:37 +00:00
parent c9607c459f
commit d472604aec
15 changed files with 324 additions and 131 deletions
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70
scripts/MetaPrograms/notes.lean
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@ -131,8 +131,6 @@ def perturbationTheory : Note where
title := "Proof of Wick's theorem"
curators := ["Joseph Tooby-Smith"]
parts := [
.warning "This note is a work in progress and is not finished. Use with caution.
(5th Feb 2025)",
.h1 "Introduction",
.name `FieldSpecification.wicks_theorem_context .incomplete,
.p "In this note we walk through the important parts of the proof of Wick's theorem
@ -185,6 +183,7 @@ def perturbationTheory : Note where
.name ``FieldSpecification.FieldOpFreeAlgebra.timeOrderF .complete,
.name ``FieldSpecification.FieldOpAlgebra.timeOrder .complete,
.name ``FieldSpecification.FieldOpAlgebra.timeOrder_eq_maxTimeField_mul_finset .complete,
.name ``FieldSpecification.FieldOpAlgebra.timeOrder_timeOrder_mid .complete,
.h1 "Normal ordering",
.name ``FieldSpecification.normalOrderRel .complete,
.name ``FieldSpecification.normalOrderList .complete,
@ -207,6 +206,7 @@ def perturbationTheory : Note where
.name ``WickContraction.uncontractedListGet .complete,
.h2 "Constructors",
.name ``WickContraction.insertAndContract .complete,
.name ``WickContraction.insertLift_sum .complete,
.name ``WickContraction.join .complete,
.h2 "Sign",
.name ``WickContraction.sign .complete,
@ -219,32 +219,46 @@ def perturbationTheory : Note where
.h2 "Normal order",
.name ``FieldSpecification.FieldOpAlgebra.normalOrder_uncontracted_none .complete,
.name ``FieldSpecification.FieldOpAlgebra.normalOrder_uncontracted_some .complete,
.h1 "Static contractions",
.name ``WickContraction.staticContract .incomplete,
.name ``WickContraction.staticContract_insert_some_of_lt .incomplete,
.name ``WickContraction.staticContract_insert_none .incomplete,
.h1 "Time contractions",
.name ``FieldSpecification.FieldOpAlgebra.timeContract .incomplete,
.name ``WickContraction.timeContract .incomplete,
.name ``WickContraction.timeContract_insert_none .incomplete,
.name ``WickContraction.timeContract_insert_some_of_not_lt .incomplete,
.name ``WickContraction.timeContract_insert_some_of_lt .incomplete,
.h1 "Wick terms",
.name ``WickContraction.wickTerm .incomplete,
.name ``WickContraction.wickTerm_empty_nil .incomplete,
.name ``WickContraction.wickTerm_insert_none .incomplete,
.name ``WickContraction.wickTerm_insert_some .incomplete,
.name ``WickContraction.mul_wickTerm_eq_sum .incomplete,
.h1 "Static wick terms",
.name ``WickContraction.staticWickTerm .incomplete,
.name ``WickContraction.staticWickTerm_empty_nil .incomplete,
.name ``WickContraction.staticWickTerm_insert_zero_none .incomplete,
.name ``WickContraction.staticWickTerm_insert_zero_some .incomplete,
.name ``WickContraction.mul_staticWickTerm_eq_sum .incomplete,
.h1 "The three Wick's theorems",
.name ``FieldSpecification.wicks_theorem .incomplete,
.name ``FieldSpecification.FieldOpAlgebra.static_wick_theorem .incomplete,
.name ``FieldSpecification.FieldOpAlgebra.wicks_theorem_normal_order .incomplete
.h1 "Static Wicks theorem",
.h2 "Static contractions",
.name ``WickContraction.staticContract .complete,
.name ``WickContraction.staticContract_insert_none .complete,
.name ``WickContraction.staticContract_insert_some .complete,
.h2 "Static wick terms",
.name ``WickContraction.staticWickTerm .complete,
.name ``WickContraction.staticWickTerm_empty_nil .complete,
.name ``WickContraction.staticWickTerm_insert_zero_none .complete,
.name ``WickContraction.staticWickTerm_insert_zero_some .complete,
.name ``WickContraction.mul_staticWickTerm_eq_sum .complete,
.h2 "The Static Wicks theorem",
.name ``FieldSpecification.FieldOpAlgebra.static_wick_theorem .complete,
.h1 "Wick's theorem",
.h2 "Time contractions",
.name ``FieldSpecification.FieldOpAlgebra.timeContract .complete,
.name ``FieldSpecification.FieldOpAlgebra.timeContract_of_timeOrderRel .complete,
.name ``FieldSpecification.FieldOpAlgebra.timeContract_of_not_timeOrderRel_expand .complete,
.name ``FieldSpecification.FieldOpAlgebra.timeContract_mem_center .complete,
.name ``WickContraction.timeContract .complete,
.name ``WickContraction.timeContract_insert_none .complete,
.name ``WickContraction.timeContract_insert_some_of_not_lt .complete,
.name ``WickContraction.timeContract_insert_some_of_lt .complete,
.name ``WickContraction.join_sign_timeContract .complete,
.h2 "Wick terms",
.name ``WickContraction.wickTerm .complete,
.name ``WickContraction.wickTerm_empty_nil .complete,
.name ``WickContraction.wickTerm_insert_none .complete,
.name ``WickContraction.wickTerm_insert_some .complete,
.name ``WickContraction.mul_wickTerm_eq_sum .complete,
.h2 "Wick's theorem",
.name ``FieldSpecification.wicks_theorem .complete,
.h1 "Normal-ordered Wick's theorem",
.name ``WickContraction.EqTimeOnly.timeOrder_staticContract_of_not_mem .complete,
.name ``WickContraction.EqTimeOnly.staticContract_eq_timeContract_of_eqTimeOnly .complete,
.name ``WickContraction.EqTimeOnly.timeOrder_timeContract_mul_of_eqTimeOnly_left .complete,
.name ``FieldSpecification.FieldOpAlgebra.timeOrder_ofFieldOpList_eqTimeOnly .complete,
.name ``FieldSpecification.FieldOpAlgebra.normalOrder_timeOrder_ofFieldOpList_eq_eqTimeOnly_empty .complete,
.name ``FieldSpecification.FieldOpAlgebra.timeOrder_haveEqTime_split .complete,
.name ``FieldSpecification.FieldOpAlgebra.wicks_theorem_normal_order .complete
]
unsafe def main (_ : List String) : IO UInt32 := do