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refactor: Add to note

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jstoobysmith 2025-02-04 14:56:38 +00:00
parent e5f6d2b5bf
commit 5fe9eea34a
2 changed files with 27 additions and 18 deletions
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43
scripts/MetaPrograms/notes.lean
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@ -147,34 +147,43 @@ def perturbationTheory : Note where
.name `FieldSpecification.CrAnFieldOp,
.h2 "Field-operator free algebra",
.name `FieldSpecification.FieldOpFreeAlgebra,
.name `FieldSpecification.FieldOpFreeAlgebra.superCommuteF,
.h2 "Field-operator algebra",
.name `FieldSpecification.FieldOpAlgebra,
.name `FieldSpecification.FieldOpAlgebra.superCommute,
.h1 "Time ordering",
.name `FieldSpecification.timeOrderRel,
.name `FieldSpecification.timeOrderSign,
.name `FieldSpecification.crAnTimeOrderRel,
.name `FieldSpecification.crAnTimeOrderSign,
.name `FieldSpecification.FieldOpFreeAlgebra.timeOrderF,
.name `FieldSpecification.FieldOpAlgebra.timeOrder,
.h1 "Normal ordering",
.name `FieldSpecification.normalOrderRel,
.name `FieldSpecification.normalOrderSign,
.name `FieldSpecification.FieldOpFreeAlgebra.normalOrderF,
.name `FieldSpecification.FieldOpAlgebra.normalOrder,
.h1 "Wick Contractions",
.h2 "Definition",
.name `WickContraction,
.name `WickContraction.GradingCompliant,
.h2 "Constructors",
.p "There are a number of ways to construct a Wick contraction from
other Wick contractions or single contractions.",
.name `WickContraction.insertAndContract,
.name `WickContraction.erase,
.name `WickContraction.join,
.h2 "Sign",
.h1 "Static Wick's theorem",
.h1 "Time-dependent Wick's theorem",
.h2 "Wick terms",
.name `FieldSpecification.wick_term_terminology,
.name `FieldSpecification.wick_term_none_eq_wick_term_cons,
.name `FieldSpecification.wick_term_some_eq_wick_term_optionEraseZ,
.name `FieldSpecification.wick_term_cons_eq_sum_wick_term,
.h2 "The case of the nil list",
.p "Our proof of Wick's theorem will be via induction on the number of fields that
are in the time-ordered product. The base case is when there are no fields.
The proof of Wick's theorem follows from definitions and simple lemmas.",
.name `FieldSpecification.wicks_theorem_nil,
.h2 "Wick's theorems",
.name `WickContraction.sign,
.name `WickContraction.signInsertNone_eq_filterset,
.name `WickContraction.signInsertSome_mul_filter_contracted_of_not_lt,
.name `WickContraction.join_sign,
.h2 "Cardinality",
.name `WickContraction.card_eq_cardFun,
.h1 "Time and static contractions",
.h1 "The three Wick's theorems",
.name `FieldSpecification.wicks_theorem,
.h1 "Wick's theorem with normal ordering"]
.name `FieldSpecification.FieldOpAlgebra.static_wick_theorem,
.name `FieldSpecification.FieldOpAlgebra.wicks_theorem_normal_order
]
unsafe def main (_ : List String) : IO UInt32 := do
initSearchPath (← findSysroot)